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

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

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

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

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

Decimal

1.20710 \dots

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

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

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

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