3.4 Integrals 301 to 357

\(\int \genfrac {}{}{}{}{1}{a+b \sin (c+\genfrac {}{}{}{}{d}{x})} \, dx\) [301]
\(\int \genfrac {}{}{}{}{e+f x}{a+b \sin (c+\genfrac {}{}{}{}{d}{x})} \, dx\) [302]
\(\int \genfrac {}{}{}{}{(e+f x)^2}{a+b \sin (c+\genfrac {}{}{}{}{d}{x})} \, dx\) [303]
\(\int \genfrac {}{}{}{}{(e+f x)^2}{(a+b \sin (c+\genfrac {}{}{}{}{d}{x}))^2} \, dx\) [304]
\(\int \genfrac {}{}{}{}{e+f x}{(a+b \sin (c+\genfrac {}{}{}{}{d}{x}))^2} \, dx\) [305]
\(\int \genfrac {}{}{}{}{1}{(a+b \sin (c+\genfrac {}{}{}{}{d}{x}))^2} \, dx\) [306]
\(\int \genfrac {}{}{}{}{e+f x}{(a+b \sin (c+\genfrac {}{}{}{}{d}{x}))^2} \, dx\) [307]
\(\int \genfrac {}{}{}{}{(e+f x)^2}{(a+b \sin (c+\genfrac {}{}{}{}{d}{x}))^2} \, dx\) [308]
\(\int (e+f x)^m (a+b \sin (c+\genfrac {}{}{}{}{d}{x}))^p \, dx\) [309]
\(\int x^m \sqrt [3]{c \sin ^3(a+b x)} \, dx\) [310]
\(\int x^3 \sqrt [3]{c \sin ^3(a+b x)} \, dx\) [311]
\(\int x^2 \sqrt [3]{c \sin ^3(a+b x)} \, dx\) [312]
\(\int x \sqrt [3]{c \sin ^3(a+b x)} \, dx\) [313]
\(\int \sqrt [3]{c \sin ^3(a+b x)} \, dx\) [314]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x)}}{x} \, dx\) [315]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x)}}{x^2} \, dx\) [316]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x)}}{x^3} \, dx\) [317]
\(\int x^m \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\) [318]
\(\int x^3 \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\) [319]
\(\int x^2 \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\) [320]
\(\int x \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\) [321]
\(\int \sqrt [3]{c \sin ^3(a+b x^2)} \, dx\) [322]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x^2)}}{x} \, dx\) [323]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x^2)}}{x^2} \, dx\) [324]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x^2)}}{x^3} \, dx\) [325]
\(\int x^m \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\) [326]
\(\int x^3 \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\) [327]
\(\int x^2 \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\) [328]
\(\int x \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\) [329]
\(\int \sqrt [3]{c \sin ^3(a+b x^n)} \, dx\) [330]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x^n)}}{x} \, dx\) [331]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x^n)}}{x^2} \, dx\) [332]
\(\int \genfrac {}{}{}{}{\sqrt [3]{c \sin ^3(a+b x^n)}}{x^3} \, dx\) [333]
\(\int x^m (c \sin ^3(a+b x))^{2/3} \, dx\) [334]
\(\int x^3 (c \sin ^3(a+b x))^{2/3} \, dx\) [335]
\(\int x^2 (c \sin ^3(a+b x))^{2/3} \, dx\) [336]
\(\int x (c \sin ^3(a+b x))^{2/3} \, dx\) [337]
\(\int (c \sin ^3(a+b x))^{2/3} \, dx\) [338]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x))^{2/3}}{x} \, dx\) [339]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x))^{2/3}}{x^2} \, dx\) [340]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x))^{2/3}}{x^3} \, dx\) [341]
\(\int x^m (c \sin ^3(a+b x^2))^{2/3} \, dx\) [342]
\(\int x^3 (c \sin ^3(a+b x^2))^{2/3} \, dx\) [343]
\(\int x^2 (c \sin ^3(a+b x^2))^{2/3} \, dx\) [344]
\(\int x (c \sin ^3(a+b x^2))^{2/3} \, dx\) [345]
\(\int (c \sin ^3(a+b x^2))^{2/3} \, dx\) [346]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x^2))^{2/3}}{x} \, dx\) [347]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x^2))^{2/3}}{x^2} \, dx\) [348]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x^2))^{2/3}}{x^3} \, dx\) [349]
\(\int x^m (c \sin ^3(a+b x^n))^{2/3} \, dx\) [350]
\(\int x^3 (c \sin ^3(a+b x^n))^{2/3} \, dx\) [351]
\(\int x^2 (c \sin ^3(a+b x^n))^{2/3} \, dx\) [352]
\(\int x (c \sin ^3(a+b x^n))^{2/3} \, dx\) [353]
\(\int (c \sin ^3(a+b x^n))^{2/3} \, dx\) [354]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x^n))^{2/3}}{x} \, dx\) [355]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x^n))^{2/3}}{x^2} \, dx\) [356]
\(\int \genfrac {}{}{}{}{(c \sin ^3(a+b x^n))^{2/3}}{x^3} \, dx\) [357]