Final answer to the problem
$\frac{\left(x^{12}+6x^{8}+12x^4+9\right)^{5}}{60}+C_0$
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Step-by-step Solution
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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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1
Expand the expression $\left(x^4+2\right)^2$ using the square of a binomial: $(a+b)^2=a^2+2ab+b^2$
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$\int x^3\left(x^{8}+4x^4+4\right)\left(\left(x^4+2\right)^3+1\right)^4dx$
Learn how to solve problems step by step online. Find the integral int(x^3(x^4+2)^2((x^4+2)^3+1)^4)dx. Expand the expression \left(x^4+2\right)^2 using the square of a binomial: (a+b)^2=a^2+2ab+b^2. Multiplying polynomials x^3 and x^{8}+4x^4+4. Multiply the single term x^3 by each term of the polynomial \left(4x^4+4\right). When multiplying exponents with same base we can add the exponents.
Final answer to the problem
$\frac{\left(x^{12}+6x^{8}+12x^4+9\right)^{5}}{60}+C_0$
