What is the integral from-pi/2 to 0 of cos(x) ?

The integral from-pi/2 to 0 of cos(x) is 1

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integral from-pi/2 to 0 of cos(x)

\int_{- \frac{π}{2}}^{0} cos (x) d x

1

Solution steps

\int_{- \frac{π}{2}}^{0} cos (x) d x

Use the common integral:

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

= [sin (x)]_{- \frac{π}{2}}^{0}

Compute the boundaries:

1

= 1

\int_{0}^{2} 2 x^{2} x^{3} + 1 d x

\int_{0}^{\frac{1}{2}} e^{- t^{2}} d t

\int_{0}^{1} (5 x^{2} - 8 x + 5) d x

\int_{1}^{2 e} ln (2 x + 1) d x

\int_{3}^{7} (3 - x) (x - 7) d x

What is the integral from-pi/2 to 0 of cos(x) ?
The integral from-pi/2 to 0 of cos(x) is 1