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Question Number 82391 by jagoll last updated on 21/Feb/20

$$\int \sin x\cos \left(\sin x\right)dx?$$

Commented by M±th+et£s last updated on 21/Feb/20

$$ithinkthatitsspecialintegral$$$$cos\left(sin\left(x\right)\right)=1-\frac{{sin}^2\left(x\right)}{2i}+\frac{{sin}^4\left(x\right)}{4i}-\frac{{sin}^6\left(x\right)}{6i}+...$$$$I=\int (sin\left(x\right)-\frac{{sin}^3\left(x\right)}{2i}+\frac{{sin}^5\left(x\right)}{4i}-\frac{{sin}^7\left(x\right)}{7i}+...)dx$$

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