Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Load more...
Rewrite the function $\cos\left(x^7\right)$ as it's representation in Maclaurin series expansion
Learn how to solve trigonometric integrals problems step by step online.
$\int x^8\sum_{n=0}^{\infty } \frac{{\left(-1\right)}^n}{\left(2n\right)!}\left(x^7\right)^{2n}dx$
Learn how to solve trigonometric integrals problems step by step online. Find the integral int(x^8cos(x^7))dx. Rewrite the function \cos\left(x^7\right) as it's representation in Maclaurin series expansion. Simplify \left(x^7\right)^{2n} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 7 and n equals 2n. Bring the outside term x^8 inside the power serie. When multiplying exponents with same base we can add the exponents.