What is the integral from pi/4 to pi/3 of sin(x) ?

The integral from pi/4 to pi/3 of sin(x) is -1/2+1/(sqrt(2))

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integral from pi/4 to pi/3 of sin(x)

\int_{\frac{π}{4}}^{\frac{π}{3}} sin (x) d x

- \frac{1}{2} + \frac{1}{2}

Decimal Notation

0.20710 \dots

Solution steps

\int_{\frac{π}{4}}^{\frac{π}{3}} sin (x) d x

Use the common integral:

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

= [- cos (x)]_{\frac{π}{4}}^{\frac{π}{3}}

Compute the boundaries:

- \frac{1}{2} + \frac{1}{2}

= - \frac{1}{2} + \frac{1}{2}

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\int_{0}^{1} (2 x - 1)^{100} d x

\int_{0}^{x} \frac{6 x}{( 1 + x ) ^{4}} d x

What is the integral from pi/4 to pi/3 of sin(x) ?
The integral from pi/4 to pi/3 of sin(x) is -1/2+1/(sqrt(2))