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How should I solve this problem?
- Integrate by substitution
- Integrate by partial fractions
- 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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$\int\left(5a+10b\right)\left(5a-10b\right)db$
Learn how to solve problems step by step online. Integrate the function (5a+10b)(5a-10b). Find the integral. Rewrite the integrand \left(5a+10b\right)\left(5a-10b\right) in expanded form. Expand the integral \int\left(25a^2-100b^2\right)db into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int25a^2db results in: \frac{25}{3}a^{3}.