3.14.81 \(\int (5-x) (3+2 x)^4 (2+3 x^2)^{5/2} \, dx\) [1381]

Optimal. Leaf size=154 \[ \frac {4991}{12} x \sqrt {2+3 x^2}+\frac {4991}{36} x \left (2+3 x^2\right )^{3/2}+\frac {4991}{90} x \left (2+3 x^2\right )^{5/2}+\frac {6433 (3+2 x)^2 \left (2+3 x^2\right )^{7/2}}{4455}+\frac {49}{165} (3+2 x)^3 \left (2+3 x^2\right )^{7/2}-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {2 (181243+62244 x) \left (2+3 x^2\right )^{7/2}}{13365}+\frac {4991 \sinh ^{-1}\left (\sqrt {\frac {3}{2}} x\right )}{6 \sqrt {3}} \]

[Out]

4991/36*x*(3*x^2+2)^(3/2)+4991/90*x*(3*x^2+2)^(5/2)+6433/4455*(3+2*x)^2*(3*x^2+2)^(7/2)+49/165*(3+2*x)^3*(3*x^
2+2)^(7/2)-1/33*(3+2*x)^4*(3*x^2+2)^(7/2)+2/13365*(181243+62244*x)*(3*x^2+2)^(7/2)+4991/18*arcsinh(1/2*x*6^(1/
2))*3^(1/2)+4991/12*x*(3*x^2+2)^(1/2)

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Rubi [A]
time = 0.05, antiderivative size = 154, normalized size of antiderivative = 1.00, number of steps used = 8, number of rules used = 4, integrand size = 24, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.167, Rules used = {847, 794, 201, 221} \begin {gather*} -\frac {1}{33} \left (3 x^2+2\right )^{7/2} (2 x+3)^4+\frac {49}{165} \left (3 x^2+2\right )^{7/2} (2 x+3)^3+\frac {6433 \left (3 x^2+2\right )^{7/2} (2 x+3)^2}{4455}+\frac {2 (62244 x+181243) \left (3 x^2+2\right )^{7/2}}{13365}+\frac {4991}{90} x \left (3 x^2+2\right )^{5/2}+\frac {4991}{36} x \left (3 x^2+2\right )^{3/2}+\frac {4991}{12} x \sqrt {3 x^2+2}+\frac {4991 \sinh ^{-1}\left (\sqrt {\frac {3}{2}} x\right )}{6 \sqrt {3}} \end {gather*}

Antiderivative was successfully verified.

[In]

Int[(5 - x)*(3 + 2*x)^4*(2 + 3*x^2)^(5/2),x]

[Out]

(4991*x*Sqrt[2 + 3*x^2])/12 + (4991*x*(2 + 3*x^2)^(3/2))/36 + (4991*x*(2 + 3*x^2)^(5/2))/90 + (6433*(3 + 2*x)^
2*(2 + 3*x^2)^(7/2))/4455 + (49*(3 + 2*x)^3*(2 + 3*x^2)^(7/2))/165 - ((3 + 2*x)^4*(2 + 3*x^2)^(7/2))/33 + (2*(
181243 + 62244*x)*(2 + 3*x^2)^(7/2))/13365 + (4991*ArcSinh[Sqrt[3/2]*x])/(6*Sqrt[3])

Rule 201

Int[((a_) + (b_.)*(x_)^(n_))^(p_), x_Symbol] :> Simp[x*((a + b*x^n)^p/(n*p + 1)), x] + Dist[a*n*(p/(n*p + 1)),
Int[(a + b*x^n)^(p - 1), x], x] /; FreeQ[{a, b}, x] && IGtQ[n, 0] && GtQ[p, 0] && (IntegerQ[2*p] || (EqQ[n, 2
] && IntegerQ[4*p]) || (EqQ[n, 2] && IntegerQ[3*p]) || LtQ[Denominator[p + 1/n], Denominator[p]])

Rule 221

Int[1/Sqrt[(a_) + (b_.)*(x_)^2], x_Symbol] :> Simp[ArcSinh[Rt[b, 2]*(x/Sqrt[a])]/Rt[b, 2], x] /; FreeQ[{a, b},
x] && GtQ[a, 0] && PosQ[b]

Rule 794

Int[((d_.) + (e_.)*(x_))*((f_.) + (g_.)*(x_))*((a_) + (c_.)*(x_)^2)^(p_), x_Symbol] :> Simp[((e*f + d*g)*(2*p
+ 3) + 2*e*g*(p + 1)*x)*((a + c*x^2)^(p + 1)/(2*c*(p + 1)*(2*p + 3))), x] - Dist[(a*e*g - c*d*f*(2*p + 3))/(c*
(2*p + 3)), Int[(a + c*x^2)^p, x], x] /; FreeQ[{a, c, d, e, f, g, p}, x] &&  !LeQ[p, -1]

Rule 847

Int[((d_.) + (e_.)*(x_))^(m_)*((f_.) + (g_.)*(x_))*((a_) + (c_.)*(x_)^2)^(p_.), x_Symbol] :> Simp[g*(d + e*x)^
m*((a + c*x^2)^(p + 1)/(c*(m + 2*p + 2))), x] + Dist[1/(c*(m + 2*p + 2)), Int[(d + e*x)^(m - 1)*(a + c*x^2)^p*
Simp[c*d*f*(m + 2*p + 2) - a*e*g*m + c*(e*f*(m + 2*p + 2) + d*g*m)*x, x], x], x] /; FreeQ[{a, c, d, e, f, g, p
}, x] && NeQ[c*d^2 + a*e^2, 0] && GtQ[m, 0] && NeQ[m + 2*p + 2, 0] && (IntegerQ[m] || IntegerQ[p] || IntegersQ
[2*m, 2*p]) &&  !(IGtQ[m, 0] && EqQ[f, 0])

Rubi steps

\begin {align*} \int (5-x) (3+2 x)^4 \left (2+3 x^2\right )^{5/2} \, dx &=-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {1}{33} \int (3+2 x)^3 (511+294 x) \left (2+3 x^2\right )^{5/2} \, dx\\ &=\frac {49}{165} (3+2 x)^3 \left (2+3 x^2\right )^{7/2}-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {1}{990} \int (3+2 x)^2 (42462+38598 x) \left (2+3 x^2\right )^{5/2} \, dx\\ &=\frac {6433 (3+2 x)^2 \left (2+3 x^2\right )^{7/2}}{4455}+\frac {49}{165} (3+2 x)^3 \left (2+3 x^2\right )^{7/2}-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {\int (3+2 x) (3130638+2987712 x) \left (2+3 x^2\right )^{5/2} \, dx}{26730}\\ &=\frac {6433 (3+2 x)^2 \left (2+3 x^2\right )^{7/2}}{4455}+\frac {49}{165} (3+2 x)^3 \left (2+3 x^2\right )^{7/2}-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {2 (181243+62244 x) \left (2+3 x^2\right )^{7/2}}{13365}+\frac {4991}{15} \int \left (2+3 x^2\right )^{5/2} \, dx\\ &=\frac {4991}{90} x \left (2+3 x^2\right )^{5/2}+\frac {6433 (3+2 x)^2 \left (2+3 x^2\right )^{7/2}}{4455}+\frac {49}{165} (3+2 x)^3 \left (2+3 x^2\right )^{7/2}-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {2 (181243+62244 x) \left (2+3 x^2\right )^{7/2}}{13365}+\frac {4991}{9} \int \left (2+3 x^2\right )^{3/2} \, dx\\ &=\frac {4991}{36} x \left (2+3 x^2\right )^{3/2}+\frac {4991}{90} x \left (2+3 x^2\right )^{5/2}+\frac {6433 (3+2 x)^2 \left (2+3 x^2\right )^{7/2}}{4455}+\frac {49}{165} (3+2 x)^3 \left (2+3 x^2\right )^{7/2}-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {2 (181243+62244 x) \left (2+3 x^2\right )^{7/2}}{13365}+\frac {4991}{6} \int \sqrt {2+3 x^2} \, dx\\ &=\frac {4991}{12} x \sqrt {2+3 x^2}+\frac {4991}{36} x \left (2+3 x^2\right )^{3/2}+\frac {4991}{90} x \left (2+3 x^2\right )^{5/2}+\frac {6433 (3+2 x)^2 \left (2+3 x^2\right )^{7/2}}{4455}+\frac {49}{165} (3+2 x)^3 \left (2+3 x^2\right )^{7/2}-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {2 (181243+62244 x) \left (2+3 x^2\right )^{7/2}}{13365}+\frac {4991}{6} \int \frac {1}{\sqrt {2+3 x^2}} \, dx\\ &=\frac {4991}{12} x \sqrt {2+3 x^2}+\frac {4991}{36} x \left (2+3 x^2\right )^{3/2}+\frac {4991}{90} x \left (2+3 x^2\right )^{5/2}+\frac {6433 (3+2 x)^2 \left (2+3 x^2\right )^{7/2}}{4455}+\frac {49}{165} (3+2 x)^3 \left (2+3 x^2\right )^{7/2}-\frac {1}{33} (3+2 x)^4 \left (2+3 x^2\right )^{7/2}+\frac {2 (181243+62244 x) \left (2+3 x^2\right )^{7/2}}{13365}+\frac {4991 \sinh ^{-1}\left (\sqrt {\frac {3}{2}} x\right )}{6 \sqrt {3}}\\ \end {align*}

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Mathematica [A]
time = 0.33, size = 96, normalized size = 0.62 \begin {gather*} -\frac {\sqrt {2+3 x^2} \left (-19537120-64370295 x-92160240 x^2-127123425 x^3-150762600 x^4-129966606 x^5-93646260 x^6-50615928 x^7-12921120 x^8+769824 x^9+699840 x^{10}\right )}{53460}-\frac {4991 \log \left (-\sqrt {3} x+\sqrt {2+3 x^2}\right )}{6 \sqrt {3}} \end {gather*}

Antiderivative was successfully verified.

[In]

Integrate[(5 - x)*(3 + 2*x)^4*(2 + 3*x^2)^(5/2),x]

[Out]

-1/53460*(Sqrt[2 + 3*x^2]*(-19537120 - 64370295*x - 92160240*x^2 - 127123425*x^3 - 150762600*x^4 - 129966606*x
^5 - 93646260*x^6 - 50615928*x^7 - 12921120*x^8 + 769824*x^9 + 699840*x^10)) - (4991*Log[-(Sqrt[3]*x) + Sqrt[2
+ 3*x^2]])/(6*Sqrt[3])

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Maple [A]
time = 0.76, size = 115, normalized size = 0.75

method	result	size
risch	\(-\frac {\left (699840 x^{10}+769824 x^{9}-12921120 x^{8}-50615928 x^{7}-93646260 x^{6}-129966606 x^{5}-150762600 x^{4}-127123425 x^{3}-92160240 x^{2}-64370295 x -19537120\right ) \sqrt {3 x^{2}+2}}{53460}+\frac {4991 \arcsinh \left (\frac {x \sqrt {6}}{2}\right ) \sqrt {3}}{18}\)	\(75\)
trager	\(\left (-\frac {144}{11} x^{10}-\frac {72}{5} x^{9}+\frac {7976}{33} x^{8}+\frac {4734}{5} x^{7}+\frac {173419}{99} x^{6}+\frac {24311}{10} x^{5}+\frac {279190}{99} x^{4}+\frac {28535}{12} x^{3}+\frac {1536004}{891} x^{2}+\frac {14449}{12} x +\frac {976856}{2673}\right ) \sqrt {3 x^{2}+2}+\frac {4991 \RootOf \left (\textit {\_Z}^{2}-3\right ) \ln \left (\RootOf \left (\textit {\_Z}^{2}-3\right ) \sqrt {3 x^{2}+2}+3 x \right )}{18}\)	\(91\)
default	\(-\frac {16 x^{4} \left (3 x^{2}+2\right )^{\frac {7}{2}}}{33}+\frac {8840 x^{2} \left (3 x^{2}+2\right )^{\frac {7}{2}}}{891}+\frac {122107 \left (3 x^{2}+2\right )^{\frac {7}{2}}}{2673}-\frac {8 x^{3} \left (3 x^{2}+2\right )^{\frac {7}{2}}}{15}+\frac {542 x \left (3 x^{2}+2\right )^{\frac {7}{2}}}{15}+\frac {4991 x \left (3 x^{2}+2\right )^{\frac {5}{2}}}{90}+\frac {4991 x \left (3 x^{2}+2\right )^{\frac {3}{2}}}{36}+\frac {4991 x \sqrt {3 x^{2}+2}}{12}+\frac {4991 \arcsinh \left (\frac {x \sqrt {6}}{2}\right ) \sqrt {3}}{18}\)	\(115\)
meijerg	\(-\frac {2025 \sqrt {3}\, \left (-\frac {8 \sqrt {\pi }\, x \sqrt {2}\, \sqrt {3}\, \left (\frac {3}{8} x^{4}+\frac {13}{16} x^{2}+\frac {11}{16}\right ) \sqrt {\frac {3 x^{2}}{2}+1}}{15}-\frac {\sqrt {\pi }\, \arcsinh \left (\frac {x \sqrt {2}\, \sqrt {3}}{2}\right )}{3}\right )}{2 \sqrt {\pi }}+\frac {160 \sqrt {3}\, \left (\frac {\sqrt {6}\, \sqrt {\pi }\, x \left (-648 x^{8}-1134 x^{6}-558 x^{4}-15 x^{2}+15\right ) \sqrt {\frac {3 x^{2}}{2}+1}}{2400}-\frac {\sqrt {\pi }\, \arcsinh \left (\frac {x \sqrt {2}\, \sqrt {3}}{2}\right )}{80}\right )}{9 \sqrt {\pi }}-\frac {440 \sqrt {2}\, \left (-\frac {32 \sqrt {\pi }}{945}+\frac {4 \sqrt {\pi }\, \left (-\frac {567}{4} x^{8}-\frac {513}{2} x^{6}-135 x^{4}-6 x^{2}+8\right ) \sqrt {\frac {3 x^{2}}{2}+1}}{945}\right )}{\sqrt {\pi }}-\frac {1440 \sqrt {3}\, \left (-\frac {\sqrt {6}\, \sqrt {\pi }\, x \left (162 x^{6}+306 x^{4}+177 x^{2}+15\right ) \sqrt {\frac {3 x^{2}}{2}+1}}{720}+\frac {\sqrt {\pi }\, \arcsinh \left (\frac {x \sqrt {2}\, \sqrt {3}}{2}\right )}{24}\right )}{\sqrt {\pi }}-\frac {4995 \sqrt {2}\, \left (\frac {16 \sqrt {\pi }}{105}-\frac {8 \sqrt {\pi }\, \left (\frac {27}{4} x^{6}+\frac {27}{2} x^{4}+9 x^{2}+2\right ) \sqrt {\frac {3 x^{2}}{2}+1}}{105}\right )}{2 \sqrt {\pi }}+\frac {160 \sqrt {2}\, \left (\frac {128 \sqrt {\pi }}{10395}-\frac {8 \sqrt {\pi }\, \left (\frac {15309}{16} x^{10}+\frac {13041}{8} x^{8}+\frac {3051}{4} x^{6}+\frac {27}{2} x^{4}-12 x^{2}+16\right ) \sqrt {\frac {3 x^{2}}{2}+1}}{10395}\right )}{9 \sqrt {\pi }}\)	\(332\)

Verification of antiderivative is not currently implemented for this CAS.

[In]

int((5-x)*(2*x+3)^4*(3*x^2+2)^(5/2),x,method=_RETURNVERBOSE)

[Out]

-16/33*x^4*(3*x^2+2)^(7/2)+8840/891*x^2*(3*x^2+2)^(7/2)+122107/2673*(3*x^2+2)^(7/2)-8/15*x^3*(3*x^2+2)^(7/2)+5
42/15*x*(3*x^2+2)^(7/2)+4991/90*x*(3*x^2+2)^(5/2)+4991/36*x*(3*x^2+2)^(3/2)+4991/12*x*(3*x^2+2)^(1/2)+4991/18*
arcsinh(1/2*x*6^(1/2))*3^(1/2)

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Maxima [A]
time = 0.51, size = 114, normalized size = 0.74 \begin {gather*} -\frac {16}{33} \, {\left (3 \, x^{2} + 2\right )}^{\frac {7}{2}} x^{4} - \frac {8}{15} \, {\left (3 \, x^{2} + 2\right )}^{\frac {7}{2}} x^{3} + \frac {8840}{891} \, {\left (3 \, x^{2} + 2\right )}^{\frac {7}{2}} x^{2} + \frac {542}{15} \, {\left (3 \, x^{2} + 2\right )}^{\frac {7}{2}} x + \frac {122107}{2673} \, {\left (3 \, x^{2} + 2\right )}^{\frac {7}{2}} + \frac {4991}{90} \, {\left (3 \, x^{2} + 2\right )}^{\frac {5}{2}} x + \frac {4991}{36} \, {\left (3 \, x^{2} + 2\right )}^{\frac {3}{2}} x + \frac {4991}{12} \, \sqrt {3 \, x^{2} + 2} x + \frac {4991}{18} \, \sqrt {3} \operatorname {arsinh}\left (\frac {1}{2} \, \sqrt {6} x\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((5-x)*(3+2*x)^4*(3*x^2+2)^(5/2),x, algorithm="maxima")

[Out]

-16/33*(3*x^2 + 2)^(7/2)*x^4 - 8/15*(3*x^2 + 2)^(7/2)*x^3 + 8840/891*(3*x^2 + 2)^(7/2)*x^2 + 542/15*(3*x^2 + 2
)^(7/2)*x + 122107/2673*(3*x^2 + 2)^(7/2) + 4991/90*(3*x^2 + 2)^(5/2)*x + 4991/36*(3*x^2 + 2)^(3/2)*x + 4991/1
2*sqrt(3*x^2 + 2)*x + 4991/18*sqrt(3)*arcsinh(1/2*sqrt(6)*x)

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Fricas [A]
time = 3.35, size = 90, normalized size = 0.58 \begin {gather*} -\frac {1}{53460} \, {\left (699840 \, x^{10} + 769824 \, x^{9} - 12921120 \, x^{8} - 50615928 \, x^{7} - 93646260 \, x^{6} - 129966606 \, x^{5} - 150762600 \, x^{4} - 127123425 \, x^{3} - 92160240 \, x^{2} - 64370295 \, x - 19537120\right )} \sqrt {3 \, x^{2} + 2} + \frac {4991}{36} \, \sqrt {3} \log \left (-\sqrt {3} \sqrt {3 \, x^{2} + 2} x - 3 \, x^{2} - 1\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((5-x)*(3+2*x)^4*(3*x^2+2)^(5/2),x, algorithm="fricas")

[Out]

-1/53460*(699840*x^10 + 769824*x^9 - 12921120*x^8 - 50615928*x^7 - 93646260*x^6 - 129966606*x^5 - 150762600*x^
4 - 127123425*x^3 - 92160240*x^2 - 64370295*x - 19537120)*sqrt(3*x^2 + 2) + 4991/36*sqrt(3)*log(-sqrt(3)*sqrt(
3*x^2 + 2)*x - 3*x^2 - 1)

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Sympy [A]
time = 9.90, size = 199, normalized size = 1.29 \begin {gather*} - \frac {144 x^{10} \sqrt {3 x^{2} + 2}}{11} - \frac {72 x^{9} \sqrt {3 x^{2} + 2}}{5} + \frac {7976 x^{8} \sqrt {3 x^{2} + 2}}{33} + \frac {4734 x^{7} \sqrt {3 x^{2} + 2}}{5} + \frac {173419 x^{6} \sqrt {3 x^{2} + 2}}{99} + \frac {24311 x^{5} \sqrt {3 x^{2} + 2}}{10} + \frac {279190 x^{4} \sqrt {3 x^{2} + 2}}{99} + \frac {28535 x^{3} \sqrt {3 x^{2} + 2}}{12} + \frac {1536004 x^{2} \sqrt {3 x^{2} + 2}}{891} + \frac {14449 x \sqrt {3 x^{2} + 2}}{12} + \frac {976856 \sqrt {3 x^{2} + 2}}{2673} + \frac {4991 \sqrt {3} \operatorname {asinh}{\left (\frac {\sqrt {6} x}{2} \right )}}{18} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((5-x)*(3+2*x)**4*(3*x**2+2)**(5/2),x)

[Out]

-144*x**10*sqrt(3*x**2 + 2)/11 - 72*x**9*sqrt(3*x**2 + 2)/5 + 7976*x**8*sqrt(3*x**2 + 2)/33 + 4734*x**7*sqrt(3
*x**2 + 2)/5 + 173419*x**6*sqrt(3*x**2 + 2)/99 + 24311*x**5*sqrt(3*x**2 + 2)/10 + 279190*x**4*sqrt(3*x**2 + 2)
/99 + 28535*x**3*sqrt(3*x**2 + 2)/12 + 1536004*x**2*sqrt(3*x**2 + 2)/891 + 14449*x*sqrt(3*x**2 + 2)/12 + 97685
6*sqrt(3*x**2 + 2)/2673 + 4991*sqrt(3)*asinh(sqrt(6)*x/2)/18

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Giac [A]
time = 1.42, size = 82, normalized size = 0.53 \begin {gather*} -\frac {1}{53460} \, {\left (3 \, {\left ({\left (9 \, {\left (2 \, {\left ({\left (2 \, {\left (6 \, {\left (4 \, {\left (27 \, {\left (10 \, x + 11\right )} x - 4985\right )} x - 78111\right )} x - 867095\right )} x - 2406789\right )} x - 2791900\right )} x - 4708275\right )} x - 30720080\right )} x - 21456765\right )} x - 19537120\right )} \sqrt {3 \, x^{2} + 2} - \frac {4991}{18} \, \sqrt {3} \log \left (-\sqrt {3} x + \sqrt {3 \, x^{2} + 2}\right ) \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

integrate((5-x)*(3+2*x)^4*(3*x^2+2)^(5/2),x, algorithm="giac")

[Out]

-1/53460*(3*((9*(2*((2*(6*(4*(27*(10*x + 11)*x - 4985)*x - 78111)*x - 867095)*x - 2406789)*x - 2791900)*x - 47
08275)*x - 30720080)*x - 21456765)*x - 19537120)*sqrt(3*x^2 + 2) - 4991/18*sqrt(3)*log(-sqrt(3)*x + sqrt(3*x^2
+ 2))

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Mupad [B]
time = 1.75, size = 75, normalized size = 0.49 \begin {gather*} \frac {4991\,\sqrt {3}\,\mathrm {asinh}\left (\frac {\sqrt {6}\,x}{2}\right )}{18}+\frac {\sqrt {3}\,\sqrt {x^2+\frac {2}{3}}\,\left (-\frac {432\,x^{10}}{11}-\frac {216\,x^9}{5}+\frac {7976\,x^8}{11}+\frac {14202\,x^7}{5}+\frac {173419\,x^6}{33}+\frac {72933\,x^5}{10}+\frac {279190\,x^4}{33}+\frac {28535\,x^3}{4}+\frac {1536004\,x^2}{297}+\frac {14449\,x}{4}+\frac {976856}{891}\right )}{3} \end {gather*}

Verification of antiderivative is not currently implemented for this CAS.

[In]

int(-(2*x + 3)^4*(3*x^2 + 2)^(5/2)*(x - 5),x)

[Out]

(4991*3^(1/2)*asinh((6^(1/2)*x)/2))/18 + (3^(1/2)*(x^2 + 2/3)^(1/2)*((14449*x)/4 + (1536004*x^2)/297 + (28535*
x^3)/4 + (279190*x^4)/33 + (72933*x^5)/10 + (173419*x^6)/33 + (14202*x^7)/5 + (7976*x^8)/11 - (216*x^9)/5 - (4
32*x^10)/11 + 976856/891))/3

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