Exercise
$\int5x\left(7-x\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(5x(7-x))dx. The integral of a function times a constant (5) is equal to the constant times the integral of the function. Rewrite the integrand x\left(7-x\right) in expanded form. Expand the integral \int\left(7x-x^2\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. The integral 35\int xdx results in: \frac{35}{2}x^2.
Find the integral int(5x(7-x))dx
Final answer to the exercise
$\frac{35}{2}x^2-\frac{5}{3}x^{3}+C_0$