What is the integral from pi/4 to pi of (sin(x)) ?

The integral from pi/4 to pi of (sin(x)) is 1+1/(sqrt(2))

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integral from pi/4 to pi of (sin(x))

\int_{\frac{π}{4}}^{π} (sin (x)) d x

1 + \frac{1}{2}

Decimal

1.70710 \dots

Solution steps

\int_{\frac{π}{4}}^{π} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{\frac{π}{4}}^{π}

Compute the boundaries:

1 + \frac{1}{2}

= 1 + \frac{1}{2}

\int_{4}^{\infty} e^{5 x} d x

\int \frac{2 + x ^{2}}{1 + x ^{2}} d x

\int (\frac{x}{2} + \frac{2}{x}) d x

\frac{\partial}{\partial x} (\frac{( 2 x y )}{x ^{2} + y ^{2}})

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

What is the integral from pi/4 to pi of (sin(x)) ?
The integral from pi/4 to pi of (sin(x)) is 1+1/(sqrt(2))