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

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

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integral from pi/4 to pi/2 of sin(x)

\int_{\frac{π}{4}}^{\frac{π}{2}} sin (x) d x

\frac{1}{2}

Decimal Notation

0.70710 \dots

Solution steps

\int_{\frac{π}{4}}^{\frac{π}{2}} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{\frac{π}{4}}^{\frac{π}{2}}

Compute the boundaries:

\frac{1}{2}

= \frac{1}{2}

\int \frac{( ln ( x ^{4} ) )}{x} d x

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

\int e^{\frac{1}{x}} - e^{\frac{1}{x + 1}} d x

\frac{d}{d x} (ln (e^{x} - y))

\int x^{3} x^{2} - 1 d x

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