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