Exercise
$\int_0^{\pi}\left(3\cos\left(x\right)\sin\left(x\right)\right)dx$
Step-by-step Solution
Learn how to solve problems step by step online. Integrate the function 3cos(x)sin(x) from 0 to pi. Simplify 3\cos\left(x\right)\sin\left(x\right) into \frac{3\sin\left(2x\right)}{2} by applying trigonometric identities. Take the constant \frac{1}{2} out of the integral. The integral of a function times a constant (3) is equal to the constant times the integral of the function. Multiply the fraction and term in 3\left(\frac{1}{2}\right)\int\sin\left(2x\right)dx.
Integrate the function 3cos(x)sin(x) from 0 to pi
Final answer to the exercise
$-\frac{3}{4}\cos\left(2\pi \right)- \left(-\frac{3}{4}\right)\cos\left(2\cdot 0\right)$