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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Simplify the expression inside the integral
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$\int\frac{x^5-4}{x^{-2}}dx$
Learn how to solve problems step by step online. Find the integral int((2x^5-8)/(2x^(-2)))dx. Simplify the expression inside the integral. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Rewrite the integrand \left(x^5-4\right)x^{2} in expanded form. Expand the integral \int\left(x^{7}-4x^{2}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.