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Expand the integral $\int\left(y^3-y^2\sin\left(x\right)-x\right)dx$ into $3$ integrals using the sum rule for integrals, to then solve each integral separately
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$\int y^3dx+\int-y^2\sin\left(x\right)dx+\int-xdx$
Learn how to solve equations problems step by step online. Find the integral int(y^3-y^2sin(x)-x)dx. Expand the integral \int\left(y^3-y^2\sin\left(x\right)-x\right)dx into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int y^3dx results in: y^3x. The integral \int-y^2\sin\left(x\right)dx results in: y^2\cos\left(x\right). The integral \int-xdx results in: -\frac{1}{2}x^2.