Exercise
$\int x\left(3x+4\right)\frac{1}{3}dx$
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(x(3x+4)1/3)dx. The integral of a function times a constant (\frac{1}{3}) is equal to the constant times the integral of the function. Rewrite the integrand x\left(3x+4\right) in expanded form. Expand the integral \int\left(3x^2+4x\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Simplify the expression.
Find the integral int(x(3x+4)1/3)dx
Final answer to the exercise
$\frac{x^{3}}{3}+\frac{2}{3}x^2+C_0$