Final answer to the problem
$\frac{\sqrt{15}x^{4}}{4}+C_0$
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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
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- Product of Binomials with Common Term
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1
Add the values $4$ and $11$
$\int\sqrt{15}x^3dx$
Learn how to solve integrals with radicals problems step by step online.
$\int\sqrt{15}x^3dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int(x^3(4+11)^(1/2))dx. Add the values 4 and 11. The integral of a function times a constant (\sqrt{15}) 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. Multiplying the fraction by \sqrt{15}.
Final answer to the problem
$\frac{\sqrt{15}x^{4}}{4}+C_0$
