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Learn how to solve integrals of constant functions problems step by step online.
$\int\left(a^x+b^n\right)\left(a^x-b^n\right)dx$
Learn how to solve integrals of constant functions 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. We can solve the integral \int a^{2x}dx by applying integration by substitution method (also called U-Substitution). First, we must identify a section within the integral with a new variable (let's call it u), which when substituted makes the integral easier. We see that 2x it's a good candidate for substitution. Let's define a variable u and assign it to the choosen part.