3.1 Integrals 1 to 94

\(\int ((a+b x)^4)^p \, dx\) [1]
\(\int (a^4+4 a^3 b x+6 a^2 b^2 x^2+4 a b^3 x^3+b^4 x^4)^p \, dx\) [2]
\(\int (1+4 x+4 x^2+4 x^4)^4 \, dx\) [3]
\(\int (1+4 x+4 x^2+4 x^4)^3 \, dx\) [4]
\(\int (1+4 x+4 x^2+4 x^4)^2 \, dx\) [5]
\(\int (1+4 x+4 x^2+4 x^4) \, dx\) [6]
\(\int \genfrac {}{}{}{}{1}{1+4 x+4 x^2+4 x^4} \, dx\) [7]
\(\int \genfrac {}{}{}{}{1}{(1+4 x+4 x^2+4 x^4)^2} \, dx\) [8]
\(\int (1+x+x^2+x^3+x^4)^3 \, dx\) [9]
\(\int (1+x+x^2+x^3+x^4)^2 \, dx\) [10]
\(\int (1+x+x^2+x^3+x^4) \, dx\) [11]
\(\int \genfrac {}{}{}{}{1}{1+x+x^2+x^3+x^4} \, dx\) [12]
\(\int \genfrac {}{}{}{}{1}{(1+x+x^2+x^3+x^4)^2} \, dx\) [13]
\(\int \genfrac {}{}{}{}{1}{(1+x+x^2+x^3+x^4)^3} \, dx\) [14]
\(\int (1-x+x^2-x^3+x^4)^3 \, dx\) [15]
\(\int (1-x+x^2-x^3+x^4)^2 \, dx\) [16]
\(\int (1-x+x^2-x^3+x^4) \, dx\) [17]
\(\int \genfrac {}{}{}{}{1}{1-x+x^2-x^3+x^4} \, dx\) [18]
\(\int \genfrac {}{}{}{}{1}{(1-x+x^2-x^3+x^4)^2} \, dx\) [19]
\(\int \genfrac {}{}{}{}{1}{(1-x+x^2-x^3+x^4)^3} \, dx\) [20]
\(\int (a+b x+c x^2+b x^3+a x^4)^3 \, dx\) [21]
\(\int (a+b x+c x^2+b x^3+a x^4)^2 \, dx\) [22]
\(\int (a+b x+c x^2+b x^3+a x^4) \, dx\) [23]
\(\int \genfrac {}{}{}{}{1}{a+b x+c x^2+b x^3+a x^4} \, dx\) [24]
\(\int \genfrac {}{}{}{}{1}{(a+b x+c x^2+b x^3+a x^4)^2} \, dx\) [25]
\(\int (a b^2+b^3 x+c x^2+b^2 d x^3+a d^2 x^4)^3 \, dx\) [26]
\(\int (a b^2+b^3 x+c x^2+b^2 d x^3+a d^2 x^4)^2 \, dx\) [27]
\(\int (a b^2+b^3 x+c x^2+b^2 d x^3+a d^2 x^4) \, dx\) [28]
\(\int \genfrac {}{}{}{}{1}{a b^2+b^3 x+c x^2+b^2 d x^3+a d^2 x^4} \, dx\) [29]
\(\int \genfrac {}{}{}{}{1}{(a b^2+b^3 x+c x^2+b^2 d x^3+a d^2 x^4)^2} \, dx\) [30]
\(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^4 \, dx\) [31]
\(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^3 \, dx\) [32]
\(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^2 \, dx\) [33]
\(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4) \, dx\) [34]
\(\int \genfrac {}{}{}{}{1}{4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4} \, dx\) [35]
\(\int \genfrac {}{}{}{}{1}{(4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^2} \, dx\) [36]
\(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^4 \, dx\) [37]
\(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^3 \, dx\) [38]
\(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^2 \, dx\) [39]
\(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4) \, dx\) [40]
\(\int \genfrac {}{}{}{}{1}{8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4} \, dx\) [41]
\(\int \genfrac {}{}{}{}{1}{(8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^2} \, dx\) [42]
\(\int (a+8 x-8 x^2+4 x^3-x^4)^4 \, dx\) [43]
\(\int (a+8 x-8 x^2+4 x^3-x^4)^3 \, dx\) [44]
\(\int (a+8 x-8 x^2+4 x^3-x^4)^2 \, dx\) [45]
\(\int (a+8 x-8 x^2+4 x^3-x^4) \, dx\) [46]
\(\int \genfrac {}{}{}{}{1}{a+8 x-8 x^2+4 x^3-x^4} \, dx\) [47]
\(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^2} \, dx\) [48]
\(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^3} \, dx\) [49]
\(\int (8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [50]
\(\int \sqrt {8 x-8 x^2+4 x^3-x^4} \, dx\) [51]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8 x-8 x^2+4 x^3-x^4}} \, dx\) [52]
\(\int \genfrac {}{}{}{}{1}{(8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [53]
\(\int \genfrac {}{}{}{}{1}{(8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [54]
\(\int ((2-x) x (4-2 x+x^2))^{3/2} \, dx\) [55]
\(\int \sqrt {(2-x) x (4-2 x+x^2)} \, dx\) [56]
\(\int \genfrac {}{}{}{}{1}{\sqrt {(2-x) x (4-2 x+x^2)}} \, dx\) [57]
\(\int \genfrac {}{}{}{}{1}{((2-x) x (4-2 x+x^2))^{3/2}} \, dx\) [58]
\(\int \genfrac {}{}{}{}{1}{((2-x) x (4-2 x+x^2))^{5/2}} \, dx\) [59]
\(\int (4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^{3/2} \, dx\) [60]
\(\int \sqrt {4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4} \, dx\) [61]
\(\int \genfrac {}{}{}{}{1}{\sqrt {4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4}} \, dx\) [62]
\(\int \genfrac {}{}{}{}{1}{(4 a c+4 c^2 x^2+4 c d x^3+d^2 x^4)^{3/2}} \, dx\) [63]
\(\int (8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^{3/2} \, dx\) [64]
\(\int \sqrt {8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4} \, dx\) [65]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4}} \, dx\) [66]
\(\int \genfrac {}{}{}{}{1}{(8 a e^2-d^3 x+8 d e^2 x^3+8 e^3 x^4)^{3/2}} \, dx\) [67]
\(\int (a+8 x-8 x^2+4 x^3-x^4)^{3/2} \, dx\) [68]
\(\int \sqrt {a+8 x-8 x^2+4 x^3-x^4} \, dx\) [69]
\(\int \genfrac {}{}{}{}{1}{\sqrt {a+8 x-8 x^2+4 x^3-x^4}} \, dx\) [70]
\(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^{3/2}} \, dx\) [71]
\(\int \genfrac {}{}{}{}{1}{(a+8 x-8 x^2+4 x^3-x^4)^{5/2}} \, dx\) [72]
\(\int (8+8 x-x^3+8 x^4)^4 \, dx\) [73]
\(\int (8+8 x-x^3+8 x^4)^3 \, dx\) [74]
\(\int (8+8 x-x^3+8 x^4)^2 \, dx\) [75]
\(\int (8+8 x-x^3+8 x^4) \, dx\) [76]
\(\int \genfrac {}{}{}{}{1}{8+8 x-x^3+8 x^4} \, dx\) [77]
\(\int \genfrac {}{}{}{}{1}{(8+8 x-x^3+8 x^4)^2} \, dx\) [78]
\(\int (8+24 x+8 x^2-15 x^3+8 x^4)^4 \, dx\) [79]
\(\int (8+24 x+8 x^2-15 x^3+8 x^4)^3 \, dx\) [80]
\(\int (8+24 x+8 x^2-15 x^3+8 x^4)^2 \, dx\) [81]
\(\int (8+24 x+8 x^2-15 x^3+8 x^4) \, dx\) [82]
\(\int \genfrac {}{}{}{}{1}{8+24 x+8 x^2-15 x^3+8 x^4} \, dx\) [83]
\(\int \genfrac {}{}{}{}{1}{(8+24 x+8 x^2-15 x^3+8 x^4)^2} \, dx\) [84]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8+8 x-x^3+8 x^4}} \, dx\) [85]
\(\int \genfrac {}{}{}{}{1}{(8+8 x-x^3+8 x^4)^{3/2}} \, dx\) [86]
\(\int \genfrac {}{}{}{}{1}{\sqrt {1+4 x+4 x^2+4 x^4}} \, dx\) [87]
\(\int \genfrac {}{}{}{}{1}{(1+4 x+4 x^2+4 x^4)^{3/2}} \, dx\) [88]
\(\int \genfrac {}{}{}{}{1}{\sqrt {8+24 x+8 x^2-15 x^3+8 x^4}} \, dx\) [89]
\(\int \genfrac {}{}{}{}{1}{(8+24 x+8 x^2-15 x^3+8 x^4)^{3/2}} \, dx\) [90]
\(\int \genfrac {}{}{}{}{1}{(8+24 x+8 x^2-15 x^3+8 x^4)^{5/2}} \, dx\) [91]
\(\int \genfrac {}{}{}{}{1}{\sqrt {9-6 x-44 x^2+15 x^3+3 x^4}} \, dx\) [92]
\(\int \genfrac {}{}{}{}{1}{(9-6 x-44 x^2+15 x^3+3 x^4)^{3/2}} \, dx\) [93]
\(\int \genfrac {}{}{}{}{1}{81-54 x+24 x^3-16 x^4} \, dx\) [94]