Integrand size = 126, antiderivative size = 29 \[ \int \frac {4-10 x+\left (5600-12400 x+7150 x^2-1600 x^3+125 x^4\right ) \log (3)+\left (-750+800 x-150 x^2\right ) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left (6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right ) \log (3)+\left (-800 x+400 x^2-50 x^3\right ) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx=\log \left (x \left (4-5 \left (x-5 \log (3) \left (-(4-x)^2+\log (4 x)\right )^2\right )\right )\right ) \] Output:
ln((4-5*x+25*ln(3)*(ln(4*x)-(4-x)^2)^2)*x)
Leaf count is larger than twice the leaf count of optimal. \(77\) vs. \(2(29)=58\).
Time = 0.04 (sec) , antiderivative size = 77, normalized size of antiderivative = 2.66 \[ \int \frac {4-10 x+\left (5600-12400 x+7150 x^2-1600 x^3+125 x^4\right ) \log (3)+\left (-750+800 x-150 x^2\right ) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left (6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right ) \log (3)+\left (-800 x+400 x^2-50 x^3\right ) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx=\log (x)+\log \left (4-5 x+6400 \log (3)-6400 x \log (3)+2400 x^2 \log (3)-400 x^3 \log (3)+25 x^4 \log (3)-800 \log (3) \log (4 x)+400 x \log (3) \log (4 x)-50 x^2 \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)\right ) \] Input:
Integrate[(4 - 10*x + (5600 - 12400*x + 7150*x^2 - 1600*x^3 + 125*x^4)*Log [3] + (-750 + 800*x - 150*x^2)*Log[3]*Log[4*x] + 25*Log[3]*Log[4*x]^2)/(4* x - 5*x^2 + (6400*x - 6400*x^2 + 2400*x^3 - 400*x^4 + 25*x^5)*Log[3] + (-8 00*x + 400*x^2 - 50*x^3)*Log[3]*Log[4*x] + 25*x*Log[3]*Log[4*x]^2),x]
Output:
Log[x] + Log[4 - 5*x + 6400*Log[3] - 6400*x*Log[3] + 2400*x^2*Log[3] - 400 *x^3*Log[3] + 25*x^4*Log[3] - 800*Log[3]*Log[4*x] + 400*x*Log[3]*Log[4*x] - 50*x^2*Log[3]*Log[4*x] + 25*Log[3]*Log[4*x]^2]
Leaf count is larger than twice the leaf count of optimal. \(81\) vs. \(2(29)=58\).
Time = 0.88 (sec) , antiderivative size = 81, normalized size of antiderivative = 2.79, number of steps used = 2, number of rules used = 2, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.016, Rules used = {7293, 2009}
Below are the steps used by Rubi to obtain the solution. The rule number used for the transformation is given above next to the arrow. The rules definitions used are listed below.
| \(\displaystyle \int \frac {\left (-150 x^2+800 x-750\right ) \log (3) \log (4 x)+\left (125 x^4-1600 x^3+7150 x^2-12400 x+5600\right ) \log (3)-10 x+25 \log (3) \log ^2(4 x)+4}{-5 x^2+\left (-50 x^3+400 x^2-800 x\right ) \log (3) \log (4 x)+\left (25 x^5-400 x^4+2400 x^3-6400 x^2+6400 x\right ) \log (3)+4 x+25 x \log (3) \log ^2(4 x)} \, dx\) |
| \(\Big \downarrow \) 7293 |
| \(\displaystyle \int \left (\frac {5 \left (20 x^4 \log (3)-240 x^3 \log (3)-20 x^2 \log (3) \log (4 x)+950 x^2 \log (3)+80 x \log (3) \log (4 x)-x (1+1200 \log (3))+10 \log (3) \log (4 x)-160 \log (3)\right )}{x \left (25 x^4 \log (3)-400 x^3 \log (3)-50 x^2 \log (3) \log (4 x)+2400 x^2 \log (3)+25 \log (3) \log ^2(4 x)+400 x \log (3) \log (4 x)-5 x (1+1280 \log (3))-800 \log (3) \log (4 x)+4 (1+1600 \log (3))\right )}+\frac {1}{x}\right )dx\) |
| \(\Big \downarrow \) 2009 |
| \(\displaystyle \log \left (25 x^4 \log (3)-400 x^3 \log (3)-50 x^2 \log (3) \log (4 x)+2400 x^2 \log (3)+25 \log (3) \log ^2(4 x)+400 x \log (3) \log (4 x)-5 x (1+1280 \log (3))-800 \log (3) \log (4 x)+4 (1+1600 \log (3))\right )+\log (x)\) |
Input:
Int[(4 - 10*x + (5600 - 12400*x + 7150*x^2 - 1600*x^3 + 125*x^4)*Log[3] + (-750 + 800*x - 150*x^2)*Log[3]*Log[4*x] + 25*Log[3]*Log[4*x]^2)/(4*x - 5* x^2 + (6400*x - 6400*x^2 + 2400*x^3 - 400*x^4 + 25*x^5)*Log[3] + (-800*x + 400*x^2 - 50*x^3)*Log[3]*Log[4*x] + 25*x*Log[3]*Log[4*x]^2),x]
Output:
Log[x] + Log[2400*x^2*Log[3] - 400*x^3*Log[3] + 25*x^4*Log[3] - 5*x*(1 + 1 280*Log[3]) + 4*(1 + 1600*Log[3]) - 800*Log[3]*Log[4*x] + 400*x*Log[3]*Log [4*x] - 50*x^2*Log[3]*Log[4*x] + 25*Log[3]*Log[4*x]^2]
Leaf count of result is larger than twice the leaf count of optimal. \(67\) vs. \(2(28)=56\).
Time = 1.25 (sec) , antiderivative size = 68, normalized size of antiderivative = 2.34
| method | result | size |
| risch | \(\ln \left (x \right )+\ln \left (\ln \left (4 x \right )^{2}+\left (-2 x^{2}+16 x -32\right ) \ln \left (4 x \right )+\frac {25 x^{4} \ln \left (3\right )-400 x^{3} \ln \left (3\right )+2400 x^{2} \ln \left (3\right )-6400 x \ln \left (3\right )+6400 \ln \left (3\right )-5 x +4}{25 \ln \left (3\right )}\right )\) | \(68\) |
| derivativedivides | \(\ln \left (4 x \right )+\ln \left (6400 x^{4} \ln \left (3\right )-12800 \ln \left (3\right ) \ln \left (4 x \right ) x^{2}-102400 x^{3} \ln \left (3\right )+6400 \ln \left (3\right ) \ln \left (4 x \right )^{2}+102400 \ln \left (3\right ) \ln \left (4 x \right ) x +614400 x^{2} \ln \left (3\right )-204800 \ln \left (3\right ) \ln \left (4 x \right )-1638400 x \ln \left (3\right )+1638400 \ln \left (3\right )-1280 x +1024\right )\) | \(80\) |
| default | \(\ln \left (4 x \right )+\ln \left (6400 x^{4} \ln \left (3\right )-12800 \ln \left (3\right ) \ln \left (4 x \right ) x^{2}-102400 x^{3} \ln \left (3\right )+6400 \ln \left (3\right ) \ln \left (4 x \right )^{2}+102400 \ln \left (3\right ) \ln \left (4 x \right ) x +614400 x^{2} \ln \left (3\right )-204800 \ln \left (3\right ) \ln \left (4 x \right )-1638400 x \ln \left (3\right )+1638400 \ln \left (3\right )-1280 x +1024\right )\) | \(80\) |
| norman | \(\ln \left (4 x \right )+\ln \left (25 x^{4} \ln \left (3\right )-50 \ln \left (3\right ) \ln \left (4 x \right ) x^{2}-400 x^{3} \ln \left (3\right )+25 \ln \left (3\right ) \ln \left (4 x \right )^{2}+400 \ln \left (3\right ) \ln \left (4 x \right ) x +2400 x^{2} \ln \left (3\right )-800 \ln \left (3\right ) \ln \left (4 x \right )-6400 x \ln \left (3\right )+6400 \ln \left (3\right )-5 x +4\right )\) | \(80\) |
| parallelrisch | \(\ln \left (\frac {25 x^{4} \ln \left (3\right )-50 \ln \left (3\right ) \ln \left (4 x \right ) x^{2}-400 x^{3} \ln \left (3\right )+25 \ln \left (3\right ) \ln \left (4 x \right )^{2}+400 \ln \left (3\right ) \ln \left (4 x \right ) x +2400 x^{2} \ln \left (3\right )-800 \ln \left (3\right ) \ln \left (4 x \right )-6400 x \ln \left (3\right )+6400 \ln \left (3\right )-5 x +4}{25 \ln \left (3\right )}\right )+\ln \left (4 x \right )\) | \(86\) |
Input:
int((25*ln(3)*ln(4*x)^2+(-150*x^2+800*x-750)*ln(3)*ln(4*x)+(125*x^4-1600*x ^3+7150*x^2-12400*x+5600)*ln(3)-10*x+4)/(25*x*ln(3)*ln(4*x)^2+(-50*x^3+400 *x^2-800*x)*ln(3)*ln(4*x)+(25*x^5-400*x^4+2400*x^3-6400*x^2+6400*x)*ln(3)- 5*x^2+4*x),x,method=_RETURNVERBOSE)
Output:
ln(x)+ln(ln(4*x)^2+(-2*x^2+16*x-32)*ln(4*x)+1/25*(25*x^4*ln(3)-400*x^3*ln( 3)+2400*x^2*ln(3)-6400*x*ln(3)+6400*ln(3)-5*x+4)/ln(3))
Leaf count of result is larger than twice the leaf count of optimal. 59 vs. \(2 (26) = 52\).
Time = 0.07 (sec) , antiderivative size = 59, normalized size of antiderivative = 2.03 \[ \int \frac {4-10 x+\left (5600-12400 x+7150 x^2-1600 x^3+125 x^4\right ) \log (3)+\left (-750+800 x-150 x^2\right ) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left (6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right ) \log (3)+\left (-800 x+400 x^2-50 x^3\right ) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx=\log \left (-50 \, {\left (x^{2} - 8 \, x + 16\right )} \log \left (3\right ) \log \left (4 \, x\right ) + 25 \, \log \left (3\right ) \log \left (4 \, x\right )^{2} + 25 \, {\left (x^{4} - 16 \, x^{3} + 96 \, x^{2} - 256 \, x + 256\right )} \log \left (3\right ) - 5 \, x + 4\right ) + \log \left (4 \, x\right ) \] Input:
integrate((25*log(3)*log(4*x)^2+(-150*x^2+800*x-750)*log(3)*log(4*x)+(125* x^4-1600*x^3+7150*x^2-12400*x+5600)*log(3)-10*x+4)/(25*x*log(3)*log(4*x)^2 +(-50*x^3+400*x^2-800*x)*log(3)*log(4*x)+(25*x^5-400*x^4+2400*x^3-6400*x^2 +6400*x)*log(3)-5*x^2+4*x),x, algorithm="fricas")
Output:
log(-50*(x^2 - 8*x + 16)*log(3)*log(4*x) + 25*log(3)*log(4*x)^2 + 25*(x^4 - 16*x^3 + 96*x^2 - 256*x + 256)*log(3) - 5*x + 4) + log(4*x)
Leaf count of result is larger than twice the leaf count of optimal. 73 vs. \(2 (24) = 48\).
Time = 0.29 (sec) , antiderivative size = 73, normalized size of antiderivative = 2.52 \[ \int \frac {4-10 x+\left (5600-12400 x+7150 x^2-1600 x^3+125 x^4\right ) \log (3)+\left (-750+800 x-150 x^2\right ) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left (6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right ) \log (3)+\left (-800 x+400 x^2-50 x^3\right ) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx=\log {\left (x \right )} + \log {\left (\left (- 2 x^{2} + 16 x - 32\right ) \log {\left (4 x \right )} + \frac {25 x^{4} \log {\left (3 \right )} - 400 x^{3} \log {\left (3 \right )} + 2400 x^{2} \log {\left (3 \right )} - 6400 x \log {\left (3 \right )} - 5 x + 4 + 6400 \log {\left (3 \right )}}{25 \log {\left (3 \right )}} + \log {\left (4 x \right )}^{2} \right )} \] Input:
integrate((25*ln(3)*ln(4*x)**2+(-150*x**2+800*x-750)*ln(3)*ln(4*x)+(125*x* *4-1600*x**3+7150*x**2-12400*x+5600)*ln(3)-10*x+4)/(25*x*ln(3)*ln(4*x)**2+ (-50*x**3+400*x**2-800*x)*ln(3)*ln(4*x)+(25*x**5-400*x**4+2400*x**3-6400*x **2+6400*x)*ln(3)-5*x**2+4*x),x)
Output:
log(x) + log((-2*x**2 + 16*x - 32)*log(4*x) + (25*x**4*log(3) - 400*x**3*l og(3) + 2400*x**2*log(3) - 6400*x*log(3) - 5*x + 4 + 6400*log(3))/(25*log( 3)) + log(4*x)**2)
Leaf count of result is larger than twice the leaf count of optimal. 108 vs. \(2 (26) = 52\).
Time = 0.16 (sec) , antiderivative size = 108, normalized size of antiderivative = 3.72 \[ \int \frac {4-10 x+\left (5600-12400 x+7150 x^2-1600 x^3+125 x^4\right ) \log (3)+\left (-750+800 x-150 x^2\right ) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left (6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right ) \log (3)+\left (-800 x+400 x^2-50 x^3\right ) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx=\log \left (x\right ) + \log \left (\frac {25 \, x^{4} \log \left (3\right ) - 400 \, x^{3} \log \left (3\right ) - 100 \, {\left (\log \left (3\right ) \log \left (2\right ) - 24 \, \log \left (3\right )\right )} x^{2} + 100 \, \log \left (3\right ) \log \left (2\right )^{2} + 25 \, \log \left (3\right ) \log \left (x\right )^{2} + 5 \, {\left (160 \, \log \left (3\right ) \log \left (2\right ) - 1280 \, \log \left (3\right ) - 1\right )} x - 1600 \, \log \left (3\right ) \log \left (2\right ) - 50 \, {\left (x^{2} \log \left (3\right ) - 8 \, x \log \left (3\right ) - 2 \, \log \left (3\right ) \log \left (2\right ) + 16 \, \log \left (3\right )\right )} \log \left (x\right ) + 6400 \, \log \left (3\right ) + 4}{25 \, \log \left (3\right )}\right ) \] Input:
integrate((25*log(3)*log(4*x)^2+(-150*x^2+800*x-750)*log(3)*log(4*x)+(125* x^4-1600*x^3+7150*x^2-12400*x+5600)*log(3)-10*x+4)/(25*x*log(3)*log(4*x)^2 +(-50*x^3+400*x^2-800*x)*log(3)*log(4*x)+(25*x^5-400*x^4+2400*x^3-6400*x^2 +6400*x)*log(3)-5*x^2+4*x),x, algorithm="maxima")
Output:
log(x) + log(1/25*(25*x^4*log(3) - 400*x^3*log(3) - 100*(log(3)*log(2) - 2 4*log(3))*x^2 + 100*log(3)*log(2)^2 + 25*log(3)*log(x)^2 + 5*(160*log(3)*l og(2) - 1280*log(3) - 1)*x - 1600*log(3)*log(2) - 50*(x^2*log(3) - 8*x*log (3) - 2*log(3)*log(2) + 16*log(3))*log(x) + 6400*log(3) + 4)/log(3))
Leaf count of result is larger than twice the leaf count of optimal. 77 vs. \(2 (26) = 52\).
Time = 0.13 (sec) , antiderivative size = 77, normalized size of antiderivative = 2.66 \[ \int \frac {4-10 x+\left (5600-12400 x+7150 x^2-1600 x^3+125 x^4\right ) \log (3)+\left (-750+800 x-150 x^2\right ) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left (6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right ) \log (3)+\left (-800 x+400 x^2-50 x^3\right ) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx=\log \left (-25 \, x^{4} \log \left (3\right ) + 400 \, x^{3} \log \left (3\right ) + 50 \, x^{2} \log \left (3\right ) \log \left (4 \, x\right ) - 2400 \, x^{2} \log \left (3\right ) - 400 \, x \log \left (3\right ) \log \left (4 \, x\right ) - 25 \, \log \left (3\right ) \log \left (4 \, x\right )^{2} + 6400 \, x \log \left (3\right ) + 800 \, \log \left (3\right ) \log \left (4 \, x\right ) + 5 \, x - 6400 \, \log \left (3\right ) - 4\right ) + \log \left (x\right ) \] Input:
integrate((25*log(3)*log(4*x)^2+(-150*x^2+800*x-750)*log(3)*log(4*x)+(125* x^4-1600*x^3+7150*x^2-12400*x+5600)*log(3)-10*x+4)/(25*x*log(3)*log(4*x)^2 +(-50*x^3+400*x^2-800*x)*log(3)*log(4*x)+(25*x^5-400*x^4+2400*x^3-6400*x^2 +6400*x)*log(3)-5*x^2+4*x),x, algorithm="giac")
Output:
log(-25*x^4*log(3) + 400*x^3*log(3) + 50*x^2*log(3)*log(4*x) - 2400*x^2*lo g(3) - 400*x*log(3)*log(4*x) - 25*log(3)*log(4*x)^2 + 6400*x*log(3) + 800* log(3)*log(4*x) + 5*x - 6400*log(3) - 4) + log(x)
Timed out. \[ \int \frac {4-10 x+\left (5600-12400 x+7150 x^2-1600 x^3+125 x^4\right ) \log (3)+\left (-750+800 x-150 x^2\right ) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left (6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right ) \log (3)+\left (-800 x+400 x^2-50 x^3\right ) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx=\int \frac {25\,\ln \left (3\right )\,{\ln \left (4\,x\right )}^2-\ln \left (3\right )\,\left (150\,x^2-800\,x+750\right )\,\ln \left (4\,x\right )-10\,x+\ln \left (3\right )\,\left (125\,x^4-1600\,x^3+7150\,x^2-12400\,x+5600\right )+4}{4\,x-5\,x^2+\ln \left (3\right )\,\left (25\,x^5-400\,x^4+2400\,x^3-6400\,x^2+6400\,x\right )-\ln \left (4\,x\right )\,\ln \left (3\right )\,\left (50\,x^3-400\,x^2+800\,x\right )+25\,x\,{\ln \left (4\,x\right )}^2\,\ln \left (3\right )} \,d x \] Input:
int((25*log(4*x)^2*log(3) - 10*x + log(3)*(7150*x^2 - 12400*x - 1600*x^3 + 125*x^4 + 5600) - log(4*x)*log(3)*(150*x^2 - 800*x + 750) + 4)/(4*x - 5*x ^2 + log(3)*(6400*x - 6400*x^2 + 2400*x^3 - 400*x^4 + 25*x^5) - log(4*x)*l og(3)*(800*x - 400*x^2 + 50*x^3) + 25*x*log(4*x)^2*log(3)),x)
Output:
int((25*log(4*x)^2*log(3) - 10*x + log(3)*(7150*x^2 - 12400*x - 1600*x^3 + 125*x^4 + 5600) - log(4*x)*log(3)*(150*x^2 - 800*x + 750) + 4)/(4*x - 5*x ^2 + log(3)*(6400*x - 6400*x^2 + 2400*x^3 - 400*x^4 + 25*x^5) - log(4*x)*l og(3)*(800*x - 400*x^2 + 50*x^3) + 25*x*log(4*x)^2*log(3)), x)
\[ \int \frac {4-10 x+\left (5600-12400 x+7150 x^2-1600 x^3+125 x^4\right ) \log (3)+\left (-750+800 x-150 x^2\right ) \log (3) \log (4 x)+25 \log (3) \log ^2(4 x)}{4 x-5 x^2+\left (6400 x-6400 x^2+2400 x^3-400 x^4+25 x^5\right ) \log (3)+\left (-800 x+400 x^2-50 x^3\right ) \log (3) \log (4 x)+25 x \log (3) \log ^2(4 x)} \, dx =\text {Too large to display} \] Input:
int((25*log(3)*log(4*x)^2+(-150*x^2+800*x-750)*log(3)*log(4*x)+(125*x^4-16 00*x^3+7150*x^2-12400*x+5600)*log(3)-10*x+4)/(25*x*log(3)*log(4*x)^2+(-50* x^3+400*x^2-800*x)*log(3)*log(4*x)+(25*x^5-400*x^4+2400*x^3-6400*x^2+6400* x)*log(3)-5*x^2+4*x),x)
Output:
25*int(log(4*x)**2/(25*log(4*x)**2*log(3)*x - 50*log(4*x)*log(3)*x**3 + 40 0*log(4*x)*log(3)*x**2 - 800*log(4*x)*log(3)*x + 25*log(3)*x**5 - 400*log( 3)*x**4 + 2400*log(3)*x**3 - 6400*log(3)*x**2 + 6400*log(3)*x - 5*x**2 + 4 *x),x)*log(3) + 125*int(x**3/(25*log(4*x)**2*log(3) - 50*log(4*x)*log(3)*x **2 + 400*log(4*x)*log(3)*x - 800*log(4*x)*log(3) + 25*log(3)*x**4 - 400*l og(3)*x**3 + 2400*log(3)*x**2 - 6400*log(3)*x + 6400*log(3) - 5*x + 4),x)* log(3) - 1600*int(x**2/(25*log(4*x)**2*log(3) - 50*log(4*x)*log(3)*x**2 + 400*log(4*x)*log(3)*x - 800*log(4*x)*log(3) + 25*log(3)*x**4 - 400*log(3)* x**3 + 2400*log(3)*x**2 - 6400*log(3)*x + 6400*log(3) - 5*x + 4),x)*log(3) - 750*int(log(4*x)/(25*log(4*x)**2*log(3)*x - 50*log(4*x)*log(3)*x**3 + 4 00*log(4*x)*log(3)*x**2 - 800*log(4*x)*log(3)*x + 25*log(3)*x**5 - 400*log (3)*x**4 + 2400*log(3)*x**3 - 6400*log(3)*x**2 + 6400*log(3)*x - 5*x**2 + 4*x),x)*log(3) + 800*int(log(4*x)/(25*log(4*x)**2*log(3) - 50*log(4*x)*log (3)*x**2 + 400*log(4*x)*log(3)*x - 800*log(4*x)*log(3) + 25*log(3)*x**4 - 400*log(3)*x**3 + 2400*log(3)*x**2 - 6400*log(3)*x + 6400*log(3) - 5*x + 4 ),x)*log(3) - 150*int((log(4*x)*x)/(25*log(4*x)**2*log(3) - 50*log(4*x)*lo g(3)*x**2 + 400*log(4*x)*log(3)*x - 800*log(4*x)*log(3) + 25*log(3)*x**4 - 400*log(3)*x**3 + 2400*log(3)*x**2 - 6400*log(3)*x + 6400*log(3) - 5*x + 4),x)*log(3) + 7150*int(x/(25*log(4*x)**2*log(3) - 50*log(4*x)*log(3)*x**2 + 400*log(4*x)*log(3)*x - 800*log(4*x)*log(3) + 25*log(3)*x**4 - 400*l...