Let t= cosx ⇒ dt= ( sinx)dx ⇒ dt=sinxdx ∫sinxdx =∫dt =t+c where c is the constant of integration = cosx+c where t ...

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Polar Representation of a Complex Number

Integrate: ∫...

Question

Integrate: $\int sin x d x$

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Solution

Let $t = - cos x$
$\Rightarrow d t = - (- sin x) d x$
$\Rightarrow d t = sin x d x$
$\int sin x d x$
$= \int d t$
$= t + c$ where $c$ is the constant of integration
$= - cos x + c$ where $t = - cos x$

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