3.4 Integrals 301 to 376

3.4.1 \(\int \csc (x) \log (\tan (x)) \sec (x) \, dx\) [301]
3.4.2 \(\int (-2 x+x^2+x^3) \, dx\) [302]
3.4.3 \(\int \genfrac {}{}{}{}{1+e^x}{1-e^x} \, dx\) [303]
3.4.4 \(\int \genfrac {}{}{}{}{x}{(1+x^2) (4+x^2)} \, dx\) [304]
3.4.5 \(\int \genfrac {}{}{}{}{1}{4-5 \sin (x)} \, dx\) [305]
3.4.6 \(\int x \sqrt [3]{c+x} \, dx\) [306]
3.4.7 \(\int e^{\sqrt [3]{x}} \, dx\) [307]
3.4.8 \(\int \genfrac {}{}{}{}{1}{4+x+\sqrt {1+x}} \, dx\) [308]
3.4.9 \(\int \genfrac {}{}{}{}{1+x^3}{-x^2+x^3} \, dx\) [309]
3.4.10 \(\int (-3+4 x+x^2) \sin (2 x) \, dx\) [310]
3.4.11 \(\int \cos (\cos (x)) \sin (x) \, dx\) [311]
3.4.12 \(\int \genfrac {}{}{}{}{1}{\sqrt {16-x^2}} \, dx\) [312]
3.4.13 \(\int \genfrac {}{}{}{}{x^3}{(1+x)^{10}} \, dx\) [313]
3.4.14 \(\int \cot ^3(2 x) \csc ^3(2 x) \, dx\) [314]
3.4.15 \(\int (x+\sin (x))^2 \, dx\) [315]
3.4.16 \(\int \genfrac {}{}{}{}{e^{\arctan (x)}}{1+x^2} \, dx\) [316]
3.4.17 \(\int \genfrac {}{}{}{}{1}{x (1+x^4)} \, dx\) [317]
3.4.18 \(\int e^{-2 t} t^3 \, dt\) [318]
3.4.19 \(\int \genfrac {}{}{}{}{\sqrt {t}}{1+\sqrt [3]{t}} \, dt\) [319]
3.4.20 \(\int \sin (x) \sin (2 x) \sin (3 x) \, dx\) [320]
3.4.21 \(\int \log (\genfrac {}{}{}{}{x}{2}) \, dx\) [321]
3.4.22 \(\int \sqrt {\genfrac {}{}{}{}{1+x}{1-x}} \, dx\) [322]
3.4.23 \(\int \genfrac {}{}{}{}{x \log (x)}{\sqrt {-1+x^2}} \, dx\) [323]
3.4.24 \(\int \genfrac {}{}{}{}{a+x}{a^2+x^2} \, dx\) [324]
3.4.25 \(\int \sqrt {1+x-x^2} \, dx\) [325]
3.4.26 \(\int \genfrac {}{}{}{}{x^4}{16+x^{10}} \, dx\) [326]
3.4.27 \(\int \genfrac {}{}{}{}{2+x}{2+x+x^2} \, dx\) [327]
3.4.28 \(\int x \sec (x) \tan (x) \, dx\) [328]
3.4.29 \(\int \genfrac {}{}{}{}{x}{-a^4+x^4} \, dx\) [329]
3.4.30 \(\int \genfrac {}{}{}{}{1}{\sqrt {x}+\sqrt {1+x}} \, dx\) [330]
3.4.31 \(\int \genfrac {}{}{}{}{1}{1-e^{-x}+2 e^x} \, dx\) [331]
3.4.32 \(\int \genfrac {}{}{}{}{\arctan (\sqrt {x})}{\sqrt {x}} \, dx\) [332]
3.4.33 \(\int \genfrac {}{}{}{}{\log (1+x)}{x^2} \, dx\) [333]
3.4.34 \(\int \genfrac {}{}{}{}{1}{-e^x+e^{3 x}} \, dx\) [334]
3.4.35 \(\int \genfrac {}{}{}{}{1+\cos ^2(x)}{1-\cos ^2(x)} \, dx\) [335]
3.4.36 \(\int \genfrac {}{}{}{}{1}{x \sqrt {-25+2 x}} \, dx\) [336]
3.4.37 \(\int \genfrac {}{}{}{}{\sin (2 x)}{\sqrt {9-\cos ^4(x)}} \, dx\) [337]
3.4.38 \(\int \genfrac {}{}{}{}{x^2}{\sqrt {5-4 x^2}} \, dx\) [338]
3.4.39 \(\int x^3 \sin (x) \, dx\) [339]
3.4.40 \(\int x \sqrt {4+2 x+x^2} \, dx\) [340]
3.4.41 \(\int x (5+x^2)^8 \, dx\) [341]
3.4.42 \(\int \cos ^2(x) \sin ^5(x) \, dx\) [342]
3.4.43 \(\int e^{-3 x} \cos (4 x) \, dx\) [343]
3.4.44 \(\int \csc ^3(\genfrac {}{}{}{}{x}{2}) \, dx\) [344]
3.4.45 \(\int \genfrac {}{}{}{}{\sqrt {-1+9 x^2}}{x^2} \, dx\) [345]
3.4.46 \(\int \genfrac {}{}{}{}{\sqrt {4-3 x^2}}{x} \, dx\) [346]
3.4.47 \(\int e^{3 x} x^2 \, dx\) [347]
3.4.48 \(\int \genfrac {}{}{}{}{\cos (x) \sin (x)}{\sqrt {1+\sin (x)}} \, dx\) [348]
3.4.49 \(\int x \arcsin (x^2) \, dx\) [349]
3.4.50 \(\int x^3 \arcsin (x^2) \, dx\) [350]
3.4.51 \(\int e^x \text {sech}(e^x) \, dx\) [351]
3.4.52 \(\int x^2 \cos (3 x) \, dx\) [352]
3.4.53 \(\int \sqrt {5-4 x-x^2} \, dx\) [353]
3.4.54 \(\int \genfrac {}{}{}{}{x^5}{\sqrt {2}+x^2} \, dx\) [354]
3.4.55 \(\int \sec ^5(x) \, dx\) [355]
3.4.56 \(\int \sin ^6(2 x) \, dx\) [356]
3.4.57 \(\int \cos (x) \log (\sin (x)) \sin ^2(x) \, dx\) [357]
3.4.58 \(\int \genfrac {}{}{}{}{e^{-x}}{1+2 e^x} \, dx\) [358]
3.4.59 \(\int \sqrt {2+3 \cos (x)} \tan (x) \, dx\) [359]
3.4.60 \(\int \genfrac {}{}{}{}{x}{\sqrt {-4 x+x^2}} \, dx\) [360]
3.4.61 \(\int \cos ^5(x) \, dx\) [361]
3.4.62 \(\int e^{-x} x^4 \, dx\) [362]
3.4.63 \(\int \genfrac {}{}{}{}{x^4}{\sqrt {-2+x^{10}}} \, dx\) [363]
3.4.64 \(\int e^x \cos (4+3 x) \, dx\) [364]
3.4.65 \(\int e^x \log (1+e^x) \, dx\) [365]
3.4.66 \(\int x^2 \arctan (x) \, dx\) [366]
3.4.67 \(\int \sqrt {-1+e^{2 x}} \, dx\) [367]
3.4.68 \(\int e^{\sin (x)} \sin (2 x) \, dx\) [368]
3.4.69 \(\int x^2 \sqrt {5-x^2} \, dx\) [369]
3.4.70 \(\int x^2 (1+x^3)^4 \, dx\) [370]
3.4.71 \(\int \cos ^3(x) \sin ^3(x) \, dx\) [371]
3.4.72 \(\int \sec ^4(x) \tan ^2(x) \, dx\) [372]
3.4.73 \(\int x \sqrt {1+2 x} \, dx\) [373]
3.4.74 \(\int \sin ^4(x) \, dx\) [374]
3.4.75 \(\int \tan ^3(x) \, dx\) [375]
3.4.76 \(\int x^5 \sqrt {1+x^2} \, dx\) [376]