3.4.1 \(\int \genfrac {}{}{}{}{1}{x (-27+2 x^7)^{2/3}} \, dx\) [301]
3.4.2 \(\int \genfrac {}{}{}{}{(1+x^7)^{2/3}}{x^8} \, dx\) [302]
3.4.3 \(\int \genfrac {}{}{}{}{\sqrt [4]{3+4 x^4}}{x^2} \, dx\) [303]
3.4.4 \(\int x^2 (3+4 x^4)^{5/4} \, dx\) [304]
3.4.5 \(\int x^6 \sqrt [4]{3+4 x^4} \, dx\) [305]
3.4.6 \(\int \sqrt [3]{x (1-x^2)} \, dx\) [306]
3.4.7 \(\int \sqrt {(1+\sqrt [3]{x}) x} \, dx\) [307]
3.4.8 \(\int \genfrac {}{}{}{}{x^3}{(-1+x^4) \sqrt {1+2 x^8}} \, dx\) [308]
3.4.9 \(\int x^9 \sqrt {1+x^5+x^{10}} \, dx\) [309]
3.4.10 \(\int \genfrac {}{}{}{}{1}{x^5 \sqrt {4+2 x^2+x^4}} \, dx\) [310]
3.4.11 \(\int \genfrac {}{}{}{}{-1+x^2}{x \sqrt {1+3 x^2+x^4}} \, dx\) [311]
3.4.12 \(\int (-3 x+2 x^3) (-3 x^2+x^4)^{3/5} \, dx\) [312]
3.4.13 \(\int \genfrac {}{}{}{}{-2 x^5+3 x^8-x^2 (-1+3 x^3)^{2/3}}{(-1+3 x^3)^{3/4}} \, dx\) [313]
3.4.14 \(\int \genfrac {}{}{}{}{1}{(-1+x^3) \sqrt [3]{2+x^3}} \, dx\) [314]
3.4.15 \(\int \genfrac {}{}{}{}{1}{(1+x^4) \sqrt [4]{2+x^4}} \, dx\) [315]
3.4.16 \(\int \genfrac {}{}{}{}{-1+x^3}{\sqrt [3]{2+x^3}} \, dx\) [316]
3.4.17 \(\int \genfrac {}{}{}{}{(1+x^4)^{3/4}}{(2+x^4)^2} \, dx\) [317]
3.4.18 \(\int \genfrac {}{}{}{}{(-2+x^5)^2}{(3+x^5)^{16/5}} \, dx\) [318]
3.4.19 \(\int \genfrac {}{}{}{}{1}{(3 x+3 x^2+x^3) \sqrt [3]{3+3 x+3 x^2+x^3}} \, dx\) [319]
3.4.20 \(\int \genfrac {}{}{}{}{1-x^2}{(1+x^2) \sqrt {1+x^4}} \, dx\) [320]
3.4.21 \(\int \genfrac {}{}{}{}{1+x^2}{(1-x^2) \sqrt {1+x^4}} \, dx\) [321]
3.4.22 \(\int \genfrac {}{}{}{}{1+x^2}{x \sqrt {1+x^4}} \, dx\) [322]
3.4.23 \(\int \genfrac {}{}{}{}{-1+x^2}{x \sqrt {1+x^4}} \, dx\) [323]
3.4.24 \(\int \genfrac {}{}{}{}{1+x^2}{(1-x^2) \sqrt {1+x^2+x^4}} \, dx\) [324]
3.4.25 \(\int \genfrac {}{}{}{}{1-x^2}{(1+x^2) \sqrt {1+x^2+x^4}} \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{-1+x^4}{x^2 \sqrt {1+x^2+x^4}} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{1-x^2}{(1+2 a x+x^2) \sqrt {1+2 a x+2 b x^2+2 a x^3+x^4}} \, dx\) [327]
3.4.28 \(\int \genfrac {}{}{}{}{1}{(1+x^4) \sqrt {-x^2+\sqrt {1+x^4}}} \, dx\) [328]
3.4.29 \(\int \genfrac {}{}{}{}{1}{(1+x^{2 n}) \sqrt {-x^2+(1+x^{2 n})^{\genfrac {}{}{}{}{1}{n}}}} \, dx\) [329]
3.4.30 \(\int \cos ^2(x) \, dx\) [330]
3.4.31 \(\int \cos ^3(x) \, dx\) [331]
3.4.32 \(\int \sin ^4(x) \, dx\) [332]
3.4.33 \(\int \cos ^6(x) \, dx\) [333]
3.4.34 \(\int \sin ^8(x) \, dx\) [334]
3.4.35 \(\int \cos ^4(\genfrac {}{}{}{}{\pi }{4}+\genfrac {}{}{}{}{x}{2}) \, dx\) [335]
3.4.36 \(\int -\sin ^3(\genfrac {}{}{}{}{\pi }{12}-3 x) \, dx\) [336]
3.4.37 \(\int \csc ^6(x) \, dx\) [337]
3.4.38 \(\int \csc ^7(x) \, dx\) [338]
3.4.39 \(\int \sec ^{12}(x) \, dx\) [339]
3.4.40 \(\int \sec ^3(\genfrac {}{}{}{}{\pi }{4}+3 x) \, dx\) [340]
3.4.41 \(\int \tan ^6(x) \, dx\) [341]
3.4.42 \(\int \cot ^5(x) \, dx\) [342]
3.4.43 \(\int \cot ^4(\genfrac {}{}{}{}{\pi }{4}+\genfrac {}{}{}{}{x}{3}) \, dx\) [343]
3.4.44 \(\int \cos ^6(x) \sin ^4(x) \, dx\) [344]
3.4.45 \(\int \cos ^6(x) \sin ^7(x) \, dx\) [345]
3.4.46 \(\int \sin ^{10}(x) \tan (x) \, dx\) [346]
3.4.47 \(\int \csc ^6(x) \sec ^6(x) \, dx\) [347]
3.4.48 \(\int \cos ^2(x) \sin ^2(x) \, dx\) [348]
3.4.49 \(\int \cos ^4(x) \sin ^4(x) \, dx\) [349]
3.4.50 \(\int \cos ^6(x) \sin ^6(x) \, dx\) [350]
3.4.51 \(\int \cos ^8(x) \sin ^8(x) \, dx\) [351]
3.4.52 \(\int \cos ^{2 m}(x) \sin ^{2 m}(x) \, dx\) [352]
3.4.53 \(\int \csc ^3(\genfrac {}{}{}{}{\pi }{4}+2 x) \sec (\genfrac {}{}{}{}{\pi }{4}+2 x) \, dx\) [353]
3.4.54 \(\int \sec ^2(x) \tan ^2(x) \, dx\) [354]
3.4.55 \(\int \cot ^3(x) \csc (x) \, dx\) [355]
3.4.56 \(\int \sec ^3(x) \tan (x) \, dx\) [356]
3.4.57 \(\int \cot ^2(x) \csc ^3(x) \, dx\) [357]
3.4.58 \(\int \cot ^3(x) \csc ^4(x) \, dx\) [358]
3.4.59 \(\int \sec ^{\genfrac {}{}{}{}{13}{2}}(x) \sin ^5(x) \, dx\) [359]
3.4.60 \(\int \sec ^4(x) \tan ^{\genfrac {}{}{}{}{3}{2}}(x) \, dx\) [360]
3.4.61 \(\int \cot ^4(x) \csc ^3(x) \, dx\) [361]
3.4.62 \(\int \sec ^3(\genfrac {}{}{}{}{\pi }{4}+\genfrac {}{}{}{}{x}{2}) \tan ^2(\genfrac {}{}{}{}{\pi }{4}+\genfrac {}{}{}{}{x}{2}) \, dx\) [362]
3.4.63 \(\int (1+\cot ^3(x)) (a \sec ^2(x)-\sin (2 x))^2 \, dx\) [363]
3.4.64 \(\int (4-3 \cos (x)) (1-\genfrac {}{}{}{}{\sin (x)}{2})^4 \, dx\) [364]
3.4.65 \(\int (\genfrac {}{}{}{}{1}{2}-3 \cot (x)) (3-2 \cot (x))^3 \, dx\) [365]
3.4.66 \(\int \cos (5 x) \sec ^5(x) \, dx\) [366]
3.4.67 \(\int \cos (4 x) \sec (x) \, dx\) [367]
3.4.68 \(\int \cos (x) \cos (4 x) \, dx\) [368]
3.4.69 \(\int \cos (4 x) \sec ^5(x) \, dx\) [369]
3.4.70 \(\int \cos ^4(x) \cos (4 x) \, dx\) [370]
3.4.71 \(\int \cos (5 x) \csc ^5(x) \, dx\) [371]
3.4.72 \(\int \csc ^4(x) \sin (4 x) \, dx\) [372]
3.4.73 \(\int \genfrac {}{}{}{}{\cot (x)}{2+\sin (2 x)} \, dx\) [373]
3.4.74 \(\int \cos (x) \cot (x) \sec (3 x) \, dx\) [374]
3.4.75 \(\int \genfrac {}{}{}{}{\sin (2 x)}{\cos ^4(x)+\sin ^4(x)} \, dx\) [375]
3.4.76 \(\int \genfrac {}{}{}{}{1}{4+\sqrt {3} \cos (x)+\sin (x)} \, dx\) [376]
3.4.77 \(\int \genfrac {}{}{}{}{1}{3+4 \cos (x)+4 \sin (x)} \, dx\) [377]
3.4.78 \(\int \genfrac {}{}{}{}{1}{4-3 \cos ^2(x)+5 \sin ^2(x)} \, dx\) [378]
3.4.79 \(\int \genfrac {}{}{}{}{1}{4+4 \cot (x)+\tan (x)} \, dx\) [379]
3.4.80 \(\int \genfrac {}{}{}{}{1}{(2 \sec (x)+\sin (x))^2} \, dx\) [380]
3.4.81 \(\int \genfrac {}{}{}{}{1}{(\cos (x)+2 \sec (x))^2} \, dx\) [381]
3.4.82 \(\int \genfrac {}{}{}{}{5-\tan (x)-6 \tan ^2(x)}{(1+3 \tan (x))^3} \, dx\) [382]
3.4.83 \(\int \cos ^2(x) \sec (3 x) \, dx\) [383]
3.4.84 \(\int \sec (2 x) \sin (x) \, dx\) [384]
3.4.85 \(\int \sec (2 x) \sin ^2(x) \, dx\) [385]
3.4.86 \(\int \sec (3 x) \sin ^3(x) \, dx\) [386]
3.4.87 \(\int \cos (x) \csc (3 x) \, dx\) [387]
3.4.88 \(\int \csc (4 x) \sin (x) \, dx\) [388]
3.4.89 \(\int \csc (4 x) \sin ^3(x) \, dx\) [389]
3.4.90 \(\int \sqrt {1+\sin (2 x)} \, dx\) [390]
3.4.91 \(\int \sqrt {1-\sin (2 x)} \, dx\) [391]
3.4.92 \(\int \genfrac {}{}{}{}{1}{\sqrt {1+\cos (2 x)}} \, dx\) [392]
3.4.93 \(\int \genfrac {}{}{}{}{1}{\sqrt {1-\cos (2 x)}} \, dx\) [393]
3.4.94 \(\int \genfrac {}{}{}{}{1}{(1-\cos (3 x))^{3/2}} \, dx\) [394]
3.4.95 \(\int (1-\sin (\genfrac {}{}{}{}{2 x}{3}))^{5/2} \, dx\) [395]
3.4.96 \(\int \genfrac {}{}{}{}{\cos (x) (-\cos ^2(x)+2 \sqrt [4]{1+2 \sin (x)})}{(1+2 \sin (x))^{3/2}} \, dx\) [396]
3.4.97 \(\int \sqrt {\tan (x)} \, dx\) [397]
3.4.98 \(\int \genfrac {}{}{}{}{1}{\sqrt [3]{\tan (5 x)}} \, dx\) [398]
3.4.99 \(\int \genfrac {}{}{}{}{1}{(4+3 \tan (2 x))^{3/2}} \, dx\) [399]
3.4.100 \(\int \genfrac {}{}{}{}{\sec ^2(x) (-\sqrt {4-3 \tan (x)}+3 \tan (x))}{(4-3 \tan (x))^{3/2}} \, dx\) [400]