Final Answer
$\frac{x^{3}f}{3}+\frac{x^{4}f}{4}+C_0$
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Step-by-step Solution
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1
The integral of a function times a constant ($f$) is equal to the constant times the integral of the function
$f\int\left(x+x^2\right)xdx$
Learn how to solve integral calculus problems step by step online.
$f\int\left(x+x^2\right)xdx$
Learn how to solve integral calculus problems step by step online. Find the integral int((x+x^2)fx)dx. The integral of a function times a constant (f) is equal to the constant times the integral of the function. Rewrite the integrand \left(x+x^2\right)x in expanded form. Expand the integral \int\left(x^2+x^{3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product f\left(\int x^2dx+\int x^{3}dx\right).
Final Answer
$\frac{x^{3}f}{3}+\frac{x^{4}f}{4}+C_0$