Exercise
$\int\left(x^4+4\right)^3\left(4x^7\right)dx$
Step-by-step Solution
Learn how to solve integrals of polynomial functions problems step by step online. Find the integral int((x^4+4)^34x^7)dx. Rewrite the integrand 4\left(x^4+4\right)^3x^7 in expanded form. Expand the integral \int\left(4x^{19}+48x^{15}+192x^{11}+256x^7\right)dx into 4 integrals using the sum rule for integrals, to then solve each integral separately. The integral \int4x^{19}dx results in: \frac{1}{5}x^{20}. The integral \int48x^{15}dx results in: 3x^{16}.
Find the integral int((x^4+4)^34x^7)dx
Final answer to the exercise
$\frac{1}{5}x^{20}+3x^{16}+16x^{12}+32x^{8}+C_0$