Exercise
$\int-\frac{1}{3}xsin\left(\frac{1}{2}x+3\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Find the integral int(-1/3xsin(1/2x+3))dx. The integral of a function times a constant (-\frac{1}{3}) is equal to the constant times the integral of the function. We can solve the integral \int x\sin\left(\frac{1}{2}x+3\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(-1/3xsin(1/2x+3))dx
Final answer to the exercise
$\frac{2}{3}x\cos\left(\frac{1}{2}x+3\right)-\frac{4}{3}\sin\left(\frac{1}{2}x+3\right)+C_0$