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- 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
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Rewrite the expression $\left(x^7+x^5+x^3\right)\left(e^{3x}+e^{2x}+e^x\right)$ inside the integral in factored form
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$\int x^{3}\left(x^{4}+x^2+1\right)e^x\left(e^{2x}+e^x+1\right)dx$
Learn how to solve problems step by step online. Find the integral int((x^7+x^5x^3)(e^(3x)+e^(2x)e^x))dx. Rewrite the expression \left(x^7+x^5+x^3\right)\left(e^{3x}+e^{2x}+e^x\right) inside the integral in factored form. We can solve the integral \int x^{3}\left(x^{4}+x^2+1\right)e^x\left(e^{2x}+e^x+1\right)dx by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du. Now, identify dv and calculate v.