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$\int2y\cos\left(x\right)dx+\int3\sin\left(x\right)dy$
Learn how to solve problems step by step online. Find the antiderivative of 2ycos(x)dx+3sin(x)dy. Find the integral. The integral \int2y\cos\left(x\right)dx results in: y^2\cos\left(x\right)+\frac{y^{3}\sin\left(x\right)}{3}+\frac{-y^{4}\cos\left(x\right)}{12}+\frac{-y^{5}\sin\left(x\right)}{60}+\frac{1}{60}\int y^{5}\cos\left(x\right)dx. Gather the results of all integrals. Multiply the single term \frac{1}{60} by each term of the polynomial \left(y^{5}\sin\left(x\right)+5y^{4}\cos\left(x\right)-20y^{3}\sin\left(x\right)-60y^{2}\cos\left(x\right)+120y\sin\left(x\right)+120\cos\left(x\right)\right).