Exercise
$\int\frac{3\sin\left(x\right)\cos\left(x\right)}{4}dx$
Step-by-step Solution
Learn how to solve trigonometric integrals problems step by step online. Solve the trigonometric integral int((3sin(x)cos(x))/4)dx. Simplify \frac{3\sin\left(x\right)\cos\left(x\right)}{4} into \frac{\frac{3\sin\left(2x\right)}{2}}{4} by applying trigonometric identities. Divide fractions \frac{\frac{3\sin\left(2x\right)}{2}}{4} with Keep, Change, Flip: \frac{a}{b}\div c=\frac{a}{b}\div\frac{c}{1}=\frac{a}{b}\times\frac{1}{c}=\frac{a}{b\cdot c}. Take the constant \frac{1}{8} out of the integral. The integral of a function times a constant (3) is equal to the constant times the integral of the function.
Solve the trigonometric integral int((3sin(x)cos(x))/4)dx
Final answer to the exercise
$-\frac{3}{16}\cos\left(2x\right)+C_0$