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

The integral from pi/2 to pi of sin(x) is 1

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

\int_{\frac{π}{2}}^{π} sin (x) d x

1

Solution steps

\int_{\frac{π}{2}}^{π} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{\frac{π}{2}}^{π}

Compute the boundaries:

1

= 1

\frac{d y}{d x} = - \frac{4 x}{y}

f (x) = sin (x) tan (x)

t an g e n t y = e^{3 x} cos (π x)

\int \frac{x ^{2}}{( 3 + 4 x - 4 x ^{2} ) ^{\frac{3}{2}}} d x

\frac{d}{d x} (\frac{12 x}{x ^{2} - 4})

What is the integral from pi/2 to pi of sin(x) ?
The integral from pi/2 to pi of sin(x) is 1