Final answer to the problem
$\frac{15\sqrt[3]{x^{4}}}{4}-\frac{1}{2}x^2+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
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- Weierstrass Substitution
- Integrate using trigonometric identities
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- Product of Binomials with Common Term
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1
Expand the integral $\int\left(5\sqrt[3]{x}-x\right)dx$ into $2$ integrals using the sum rule for integrals, to then solve each integral separately
Learn how to solve integrals of polynomial functions problems step by step online.
$\int5\sqrt[3]{x}dx+\int-xdx$
Learn how to solve integrals of polynomial functions problems step by step online. Integrate int(5x^(1/3)-x)dx. Expand the integral \int\left(5\sqrt[3]{x}-x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int5\sqrt[3]{x}dx results in: \frac{15\sqrt[3]{x^{4}}}{4}. The integral \int-xdx results in: -\frac{1}{2}x^2. Gather the results of all integrals.
Final answer to the problem
$\frac{15\sqrt[3]{x^{4}}}{4}-\frac{1}{2}x^2+C_0$
