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$\int\left(2x^n-7\right)\left(2x^n+7\right)dx$
Learn how to solve problems step by step online. Integrate the function (2x^n-7)(2x^n+7). Find the integral. Rewrite the integrand \left(2x^n-7\right)\left(2x^n+7\right) in expanded form. Expand the integral \int\left(4x^{2n}-49\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int4x^{2n}dx results in: 4x^{\left(2n+1\right)}-4nx^{\left(2n+1\right)}+4n^2x^{\left(2n+1\right)}-4n^{3}x^{\left(2n+1\right)}+\frac{4x^{\left(2n+1\right)}n^{4}}{2n+1}.