Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
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$\int\left(2x^n-7\right)\left(2x^n+7\right)dx$
Learn how to solve equations 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: \frac{4x^{\left(2n+1\right)}}{2n+1}.