Final answer to the problem
Step-by-step Solution
Learn how to solve integrals of exponential functions problems step by step online. Integrate the function -5e^(-5t)cos(20*pit)e^(t-7) from 0 to 7. Simplify the expression. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. We can solve the integral \int e^{\left(-4t-7\right)}\cos\left(20\pi t\right)dt by applying integration by parts method to calculate the integral of the product of two functions, using the following formula. First, identify or choose u and calculate it's derivative, du.