Final Answer
$-\frac{1}{4}\cos\left(2x\right)+C_0$
Got another answer? Verify it here!
Step-by-step Solution
Problem to solve:
$\int\sin\left(x\right)\cdot\cos\left(x\right)dx$
Specify the solving method
1
Simplify $\frac{1}{2}\sin\left(2x\right)$ by applying trigonometric identities
$\int\frac{1}{2}\sin\left(2x\right)dx$
2
As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$
$-\frac{1}{4}\cos\left(2x\right)+C_0$
Final Answer
$-\frac{1}{4}\cos\left(2x\right)+C_0$