Exercise
$\int\left(3x^4+3\right)^3+\left(12x^3\right)dx$
Step-by-step Solution
Learn how to solve special products problems step by step online. Integrate int((3x^4+3)^3+12x^3)dx. Expand the integral \int\left(\left(3x^4+3\right)^3+12x^3\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int\left(3x^4+3\right)^3dx results in: \frac{27}{13}x^{13}+9x^{9}+\frac{81}{5}x^{5}+27x. Gather the results of all integrals. The integral \int12x^3dx results in: 3x^{4}.
Integrate int((3x^4+3)^3+12x^3)dx
Final answer to the exercise
$27x+\frac{81}{5}x^{5}+9x^{9}+\frac{27}{13}x^{13}+3x^{4}+C_0$