Final Answer
Step-by-step Solution
Specify the solving method
The integral of a function times a constant ($v$) is equal to the constant times the integral of the function
Learn how to solve integral calculus problems step by step online.
$v\int\left(x^2+1\right)dx$
Learn how to solve integral calculus problems step by step online. Find the integral int(v(x^2+1))dx. The integral of a function times a constant (v) is equal to the constant times the integral of the function. Expand the integral \int\left(x^2+1\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately. Solve the product v\left(\int x^2dx+\int1dx\right). The integral v\int x^2dx results in: \frac{x^{3}v}{3}.