3.1 Integrals 1 to 54

\(\int (a+b x+c x^2+d x^3) \, dx\) [1]
\(\int (-x^3+x^4) \, dx\) [2]
\(\int (-1+x^5) \, dx\) [3]
\(\int (7+4 x) \, dx\) [4]
\(\int (4 x+\pi x^3) \, dx\) [5]
\(\int (2 x+5 x^2) \, dx\) [6]
\(\int (\genfrac {}{}{}{}{x^2}{2}+\genfrac {}{}{}{}{x^3}{3}) \, dx\) [7]
\(\int (3-5 x+2 x^2) \, dx\) [8]
\(\int (-2 x+x^2+x^3) \, dx\) [9]
\(\int (1-x^2-3 x^5) \, dx\) [10]
\(\int (5+2 x+3 x^2+4 x^3) \, dx\) [11]
\(\int (3-19 x^2+32 x^4-16 x^6)^4 \, dx\) [12]
\(\int (3-19 x^2+32 x^4-16 x^6)^3 \, dx\) [13]
\(\int (3-19 x^2+32 x^4-16 x^6)^2 \, dx\) [14]
\(\int (3-19 x^2+32 x^4-16 x^6) \, dx\) [15]
\(\int \genfrac {}{}{}{}{1}{3-19 x^2+32 x^4-16 x^6} \, dx\) [16]
\(\int \genfrac {}{}{}{}{1}{(3-19 x^2+32 x^4-16 x^6)^2} \, dx\) [17]
\(\int \genfrac {}{}{}{}{1}{(3-19 x^2+32 x^4-16 x^6)^3} \, dx\) [18]
\(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^3 \, dx\) [19]
\(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^2 \, dx\) [20]
\(\int (a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5) \, dx\) [21]
\(\int \genfrac {}{}{}{}{1}{a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5} \, dx\) [22]
\(\int \genfrac {}{}{}{}{1}{(a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^2} \, dx\) [23]
\(\int \genfrac {}{}{}{}{1}{(a^5+5 a^4 b x+10 a^3 b^2 x^2+10 a^2 b^3 x^3+5 a b^4 x^4+b^5 x^5)^3} \, dx\) [24]
\(\int \genfrac {}{}{}{}{1}{1+x^2+x^3+x^5} \, dx\) [25]
\(\int \genfrac {}{}{}{}{1}{2+3 (1+x)^5} \, dx\) [26]
\(\int \genfrac {}{}{}{}{1}{5+15 x+30 x^2+30 x^3+15 x^4+3 x^5} \, dx\) [27]
\(\int \genfrac {}{}{}{}{1}{2+2 (1+x)^3-3 (1+x)^6} \, dx\) [28]
\(\int \genfrac {}{}{}{}{1}{1-12 x-39 x^2-58 x^3-45 x^4-18 x^5-3 x^6} \, dx\) [29]
\(\int \genfrac {}{}{}{}{1}{(a+b x^2)^4} \, dx\) [30]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b x^2+b^2 x^4)^2} \, dx\) [31]
\(\int \genfrac {}{}{}{}{1}{a^4+4 a^3 b x^2+6 a^2 b^2 x^4+4 a b^3 x^6+b^4 x^8} \, dx\) [32]
\(\int \genfrac {}{}{}{}{1}{(a+b (s+x)^2)^4} \, dx\) [33]
\(\int \genfrac {}{}{}{}{1}{(a^2+2 a b (s+x)^2+b^2 (s+x)^4)^2} \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{a^4+4 a^3 b (s+x)^2+6 a^2 b^2 (s+x)^4+4 a b^3 (s+x)^6+b^4 (s+x)^8} \, dx\) [35]
\(\int \genfrac {}{}{}{}{1}{(a+b s^2+2 b s x+b x^2)^4} \, dx\) [36]
\(\int \genfrac {}{}{}{}{1}{((a+b s^2)^2+4 b s (a+b s^2) x+2 b (a+3 b s^2) x^2+4 b^2 s x^3+b^2 x^4)^2} \, dx\) [37]
\(\int \genfrac {}{}{}{}{1}{(a+b s^2)^4+8 b s (a+b s^2)^3 x+4 b (a+b s^2)^2 (a+7 b s^2) x^2+8 b^2 s (3 a^2+10 a b s^2+7 b^2 s^4) x^3+2 b^2 (3 a^2+30 a b s^2+35 b^2 s^4) x^4+8 b^3 s (3 a+7 b s^2) x^5+4 b^3 (a+7 b s^2) x^6+8 b^4 s x^7+b^4 x^8} \, dx\) [38]
\(\int (a+\genfrac {}{}{}{}{d}{x^3}+\genfrac {}{}{}{}{c}{x^2}+\genfrac {}{}{}{}{b}{x}) \, dx\) [39]
\(\int (\genfrac {}{}{}{}{1}{x^5}+x+x^5) \, dx\) [40]
\(\int (\genfrac {}{}{}{}{1}{x^3}+\genfrac {}{}{}{}{1}{x^2}+\genfrac {}{}{}{}{1}{x}) \, dx\) [41]
\(\int (-\genfrac {}{}{}{}{2}{x^2}+\genfrac {}{}{}{}{3}{x}) \, dx\) [42]
\(\int (-\genfrac {}{}{}{}{1}{7 x^6}+x^6) \, dx\) [43]
\(\int (1+\genfrac {}{}{}{}{1}{x}+x) \, dx\) [44]
\(\int (-\genfrac {}{}{}{}{3}{x^3}+\genfrac {}{}{}{}{4}{x^2}) \, dx\) [45]
\(\int (\genfrac {}{}{}{}{1}{x}+2 x+x^2) \, dx\) [46]
\(\int (x^{5/6}-x^3) \, dx\) [47]
\(\int (33+\sqrt [33]{x}) \, dx\) [48]
\(\int (\genfrac {}{}{}{}{1}{2 \sqrt {x}}+2 \sqrt {x}) \, dx\) [49]
\(\int (-\genfrac {}{}{}{}{1}{x^2}+\genfrac {}{}{}{}{10}{x}+6 \sqrt {x}) \, dx\) [50]
\(\int (\genfrac {}{}{}{}{1}{x^{3/2}}+x^{3/2}) \, dx\) [51]
\(\int (-5 x^{3/2}+7 x^{5/2}) \, dx\) [52]
\(\int (\genfrac {}{}{}{}{2}{\sqrt {x}}+\sqrt {x}-\genfrac {}{}{}{}{x}{2}) \, dx\) [53]
\(\int (-\genfrac {}{}{}{}{2}{x}+\genfrac {}{}{}{}{\sqrt {x}}{5}+x^{3/2}) \, dx\) [54]