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

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

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

\int_{\frac{π}{4}}^{2 π} cos (x) d x

- \frac{1}{2}

Decimal

- 0.70710 \dots

Solution steps

\int_{\frac{π}{4}}^{2 π} cos (x) d x

Use the common integral:

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

= [sin (x)]_{\frac{π}{4}}^{2 π}

Compute the boundaries:

- \frac{1}{2}

= - \frac{1}{2}

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\int_{4}^{6} (x^{2} + 2 x - 5) d x

\int_{1}^{e} \frac{x ^{4} + 1}{x} d x

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