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

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

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

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos (t) d t

2

Solution steps

\int_{- \frac{π}{2}}^{\frac{π}{2}} cos (t) d t

Use the common integral:

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

= [sin (t)]_{- \frac{π}{2}}^{\frac{π}{2}}

Compute the boundaries:

2

= 2

\int_{- 2}^{2} x + 4 d x

\int_{- \infty}^{0} e^{- ∣ 3 x ∣} d x

\int_{1}^{3} x e^{- 5 x} d x

\int_{2}^{2} (x^{3} + 1) d x

\int_{- 1}^{2} (x + 1)^{4} d x

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