What is the integral from pi/2 to (3pi)/4 of cos(x) ?

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

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integral from pi/2 to (3pi)/4 of cos(x)

\int_{\frac{π}{2}}^{\frac{3 π}{4}} cos (x) d x

\frac{1}{2} - 1

Decimal Notation

- 0.29289 \dots

Solution steps

\int_{\frac{π}{2}}^{\frac{3 π}{4}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{\frac{π}{2}}^{\frac{3 π}{4}}

Compute the boundaries:

\frac{1}{2} - 1

= \frac{1}{2} - 1

\int_{0}^{\frac{π}{4}} ln (1 + tan (x)) d x

\int_{- 7}^{- 5} (x + 2) d x

\int_{- 1}^{3} e^{x^{2} - 2 x} d x

\int_{0}^{1} x ln (x + 3) d x

\int_{2}^{3} \frac{3}{x ^{2} - 5 x + 4} d x

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