What is the integral from pi/2 to (5pi)/2 of sin(x) ?

The integral from pi/2 to (5pi)/2 of sin(x) is 0

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integral from pi/2 to (5pi)/2 of sin(x)

\int_{\frac{π}{2}}^{\frac{5 π}{2}} sin (x) d x

0

Solution steps

\int_{\frac{π}{2}}^{\frac{5 π}{2}} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{\frac{π}{2}}^{\frac{5 π}{2}}

Compute the boundaries:

0

= 0

\int_{0}^{x} \frac{x}{1 - x} d x

\int_{- \infty}^{0} e^{10 x} d x

\int_{1}^{n} \frac{x ^{3}}{n ^{3}} d x

\int_{0}^{1} e^{s i n (x)} d x

\int_{4}^{5} \frac{x}{4 - x ^{2}} d x

What is the integral from pi/2 to (5pi)/2 of sin(x) ?
The integral from pi/2 to (5pi)/2 of sin(x) is 0