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Expand the integral $\int\left(\sin\left(y\right)-y\sin\left(x\right)\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int\sin\left(y\right)dx+\int-y\sin\left(x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(sin(y)-ysin(x))dx. Expand the integral \int\left(\sin\left(y\right)-y\sin\left(x\right)\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. We can solve the integral \int\sin\left(y\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify u and calculate du. Now, identify dv and calculate v.