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

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

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integral from-pi/4 to pi/2 of cos(x)

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

1 + \frac{1}{2}

Decimal Notation

1.70710 \dots

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

1 + \frac{1}{2}

= 1 + \frac{1}{2}

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\int_{0}^{8} x 8 - x d x

\int_{2}^{6} (x^{2} - 4) d x

\int_{0}^{\frac{π}{2}} θ arctan (θ) d θ

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