Exercise
$\int9x\left(5-x^{-4}\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(9x(5-x^(-4)))dx. The integral of a function times a constant (9) is equal to the constant times the integral of the function. Rewrite the integrand x\left(5-x^{-4}\right) in expanded form. Expand the integral \int\left(5x-x^{-3}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral 45\int xdx results in: \frac{45}{2}x^2.
Find the integral int(9x(5-x^(-4)))dx
Final answer to the exercise
$\frac{45}{2}x^2+\frac{9}{2x^{2}}+C_0$