Final answer to the problem
$2x^{4}+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
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- Weierstrass Substitution
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- Product of Binomials with Common Term
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1
The integral of a function times a constant ($8$) is equal to the constant times the integral of the function
$8\int x^3dx$
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$8\int x^3dx$
Learn how to solve problems step by step online. Find the integral int(8x^3)dx. The integral of a function times a constant (8) is equal to the constant times the integral of the function. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as 3. Simplify the fraction 8\left(\frac{x^{4}}{4}\right). As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration C.
Final answer to the problem
$2x^{4}+C_0$
