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

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

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integral from 1 to pi/2 of cos(x)

\int_{1}^{\frac{π}{2}} cos (x) d x

1 - sin (1)

Decimal

0.15852 \dots

Solution steps

\int_{1}^{\frac{π}{2}} cos (x) d x

Use the common integral:

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

= [sin (x)]_{1}^{\frac{π}{2}}

Compute the boundaries:

1 - sin (1)

= 1 - sin (1)

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\int_{x^{3}}^{1} 9 x^{2} y d y

\int_{0}^{π} (sin (x) - 7) d x

\int_{0}^{5} (\frac{50}{x + 5} - 5) d x

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