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

The integral from pi/4 to (3pi)/4 of cos(x) is 0

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

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

0

Solution steps

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

Use the common integral:

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

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

Compute the boundaries:

0

= 0

\int_{0}^{x} 64 - t^{2} d t

\int_{2}^{5} ln (5 x) d x

\int_{0}^{1} 3 y d y

\int_{0}^{3} 4 x - x^{2} - x d x

\int_{0}^{2} (t - 2) d t

What is the integral from pi/4 to (3pi)/4 of cos(x) ?
The integral from pi/4 to (3pi)/4 of cos(x) is 0