Integrate the function $- e^2\left(2x\right)^2x$ from $- \infty $ to 0

Learn how to solve definite integrals problems step by step online.

$\int-e^{2}\left(2x\right)^2xdx$

Learn how to solve definite integrals problems step by step online. Integrate the function -(2x)^2e^2x from -infinity to 0. Simplify the expression inside the integral. The integral of a function times a constant (-e^{2}) is equal to the constant times the integral of the function. The power of a product is equal to the product of it's factors raised to the same power. When multiplying exponents with same base you can add the exponents: 4x^2x.