Final answer to the problem
Step-by-step Solution
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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$\int\left(a^4+6\right)\left(a^2+6\right)\left(a^4+6\right)\left(a^2-6\right)da$
Learn how to solve problems step by step online. Integrate the function (a^4+6)(a^2+6)(a^4+6)(a^2-6). Find the integral. When multiplying two powers that have the same base (a^4+6), you can add the exponents. Rewrite the integrand \left(a^4+6\right)^2\left(a^2+6\right)\left(a^2-6\right) in expanded form. Expand the integral \int\left(a^{12}-24a^{8}-396a^{4}-1296\right)da into 4 integrals using the sum rule for integrals, to then solve each integral separately.