Exercise
$\int\left(3\left(ax^3+b\right)\right)dx$
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int(3(ax^3+b))dx. Rewrite the integrand 3\left(ax^3+b\right) in expanded form. Expand the integral \int\left(3ax^3+3b\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int3ax^3dx results in: \frac{x^{4}a}{4}. The integral \int3bdx results in: 3bx.
Find the integral int(3(ax^3+b))dx
Final answer to the exercise
$\frac{x^{4}a}{4}+3bx+C_0$