What is the integral from pi/2 to (3pi)/2 of sin(x) ?

The integral from pi/2 to (3pi)/2 of sin(x) is 0

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integral from pi/2 to (3pi)/2 of sin(x)

\int_{\frac{π}{2}}^{\frac{3 π}{2}} sin (x) d x

0

Solution steps

\int_{\frac{π}{2}}^{\frac{3 π}{2}} sin (x) d x

Use the common integral:

\int sin (x) d x = - cos (x)

= [- cos (x)]_{\frac{π}{2}}^{\frac{3 π}{2}}

Compute the boundaries:

0

= 0

\int_{2}^{6} e^{x} d x

\int_{0}^{4} (x)^{2} d x

\int_{1}^{8} \frac{1}{x ^{p}} d x

\int_{- \frac{2}{a}}^{\frac{2}{a}} (a x)^{3} d x

\int_{0}^{1} - e^{- s t} d t

What is the integral from pi/2 to (3pi)/2 of sin(x) ?
The integral from pi/2 to (3pi)/2 of sin(x) is 0