Final answer to the problem
$-\frac{1}{4}\cos\left(2x\right)+C_0$
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Step-by-step Solution
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1
Simplify $\sin\left(x\right)\cos\left(x\right)$ into $\frac{\sin\left(2x\right)}{2}$ by applying trigonometric identities
$\int\frac{\sin\left(2x\right)}{2}dx$
Learn how to solve intégrales trigonométriques problems step by step online.
$\int\frac{\sin\left(2x\right)}{2}dx$
Learn how to solve intégrales trigonométriques problems step by step online. int(sin(x)cos(x))dx. Simplify \sin\left(x\right)\cos\left(x\right) into \frac{\sin\left(2x\right)}{2} by applying trigonometric identities. Apply the formula: \int\frac{x}{c}dx=\frac{1}{c}\int xdx, where c=2 and x=\sin\left(2x\right). Apply the formula: \int\sin\left(ax\right)dx=-\left(\frac{1}{a}\right)\cos\left(ax\right)+C, where a=2. Simplify the expression.
Final answer to the problem
$-\frac{1}{4}\cos\left(2x\right)+C_0$
