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

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

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

\int_{\frac{π}{2}}^{x} cos (t) d t

sin (x) - 1

Solution steps

\int_{\frac{π}{2}}^{x} cos (t) d t

Use the common integral:

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

= [sin (t)]_{\frac{π}{2}}^{x}

Compute the boundaries:

sin (x) - 1

= sin (x) - 1

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