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$\int\left(-3x+y\right)\left(y+3x\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral of (-3x+y)(y+3x). Find the integral. Rewrite the integrand \left(-3x+y\right)\left(y+3x\right) in expanded form. Expand the integral \int\left(y^2-9x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int y^2dx results in: \frac{y^{3}}{3}.