What is the answer to this integration?
$$\int\frac{dx}{1+(\sin(x))^4}$$
how to solve in. it was asked in btec placement of a collage.
2026-05-04 23:49:33.1777938573
Integration: $\int\frac{dx}{1+(\sin(x))^4}$
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write $$\sin(x)=\frac{2t}{1+t^2}$$ with $$t=\tan\left(\frac{x}{2}\right)$$ for your control, this is the result: $$\frac{\tan ^{-1}\left(\sqrt{1-i} \tan (x)\right)}{2 \sqrt{1-i}}+\frac{\tan ^{-1}\left(\sqrt{1+i} \tan (x)\right)}{2 \sqrt{1+i}}+C$$