Final answer to the problem
$x^{7}+\frac{5}{2x^{2}}+\frac{3}{4}x^{4}-9\sqrt[3]{x^{2}}+C_0$
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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
Rewrite the expression $7x^6+\frac{-5}{x^3}+3\left(x^3+\frac{-2}{\sqrt[3]{x}}\right)$ inside the integral in factored form
$\int\frac{7x^{9}-5+3x^{6}-6\sqrt[3]{x^{8}}}{x^3}dx$
Learn how to solve integrals of polynomial functions problems step by step online.
$\int\frac{7x^{9}-5+3x^{6}-6\sqrt[3]{x^{8}}}{x^3}dx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(7x^6+-5/(x^3)3(x^3+-2/(x^(1/3))))dx. Rewrite the expression 7x^6+\frac{-5}{x^3}+3\left(x^3+\frac{-2}{\sqrt[3]{x}}\right) inside the integral in factored form. Expand the fraction \frac{7x^{9}-5+3x^{6}-6\sqrt[3]{x^{8}}}{x^3} into 4 simpler fractions with common denominator x^3. Simplify the resulting fractions. Simplify the expression.
Final answer to the problem
$x^{7}+\frac{5}{2x^{2}}+\frac{3}{4}x^{4}-9\sqrt[3]{x^{2}}+C_0$
