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

The integral from-pi/4 to pi/4 of cos(x) is square root of 2

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

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

2

Decimal

1.41421 \dots

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

2

= 2

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