Exercise
$\int7e^tsin\left(4t\right)dt$
Step-by-step Solution
Learn how to solve integrals with radicals problems step by step online. Find the integral int(7e^tsin(4t))dt. The integral of a function times a constant (7) is equal to the constant times the integral of the function. We can solve the integral \int e^t\sin\left(4t\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. Now, identify dv and calculate v.
Find the integral int(7e^tsin(4t))dt
Final answer to the exercise
$\frac{7}{113}e^t\sin\left(4t\right)-\frac{28}{113}e^t\cos\left(4t\right)+C_0$