# Evaluate each definite integral. int sin x dx

Evaluate each definite integral.
$\int \mathrm{sin}xdx$
You can still ask an expert for help

• Questions are typically answered in as fast as 30 minutes

Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

Willie

Evaluating $\int \mathrm{sin}xdx$
it is known that $\frac{d}{dx}\mathrm{cos}x=-\mathrm{sin}x$ therefore,
$\frac{d}{dx}\mathrm{cos}x=-\mathrm{sin}x$
$⇒d\mathrm{cos}x=-\mathrm{sin}xdx$
$⇒\mathrm{sin}xdx=-d\mathrm{cos}x$

$⇒\int \mathrm{sin}xdx=-\mathrm{cos}x+C$
Where C is arbitrary constant.
Result: $\int \mathrm{sin}xdx=-\mathrm{cos}x+C$, Where C arbitrary constant.