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$\int\left(10y+x\right)\left(10y-x\right)dx$
Learn how to solve problems step by step online. Find the integral of (10y+x)(10y-x). Find the integral. Rewrite the integrand \left(10y+x\right)\left(10y-x\right) in expanded form. Expand the integral \int\left(100y^2-x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int100y^2dx results in: \frac{100}{3}y^{3}.