Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Integrate using trigonometric identities
- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using basic integrals
- Product of Binomials with Common Term
- FOIL Method
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Find the integral
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$\int\left(a^2+5\right)\left(a^2-10\right)da$
Learn how to solve integral calculus problems step by step online. Integrate the function (a^2+5)(a^2-10). Find the integral. Rewrite the integrand \left(a^2+5\right)\left(a^2-10\right) in expanded form. Expand the integral \int\left(a^{4}-5a^2-50\right)da into 3 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int a^{4}da results in: \frac{a^{5}}{5}.