Exercise
$\int\left(\frac{1}{4}\right)\cdot\left(5-5\cdot x\right)\cdot\left(sinx\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(1/4(5-5x)sin(x))dx. The integral of a function times a constant (\frac{1}{4}) is equal to the constant times the integral of the function. We can solve the integral \int\left(5-5x\right)\sin\left(x\right)dx 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(1/4(5-5x)sin(x))dx
Final answer to the exercise
$-\frac{5}{4}\cos\left(x\right)+\frac{5}{4}x\cos\left(x\right)-\frac{5}{4}\sin\left(x\right)+C_0$