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

The integral from 0 to 2 of cos(x-2) is sin(2)

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

\int_{0}^{2} cos (x - 2) d x

sin (2)

Decimal

0.90929 \dots

Solution steps

\int_{0}^{2} cos (x - 2) d x

Apply u-substitution

: \int_{- 2}^{0} cos (u) d u

= \int_{- 2}^{0} cos (u) d u

Use the common integral:

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

= [sin (u)]_{- 2}^{0}

Compute the boundaries:

sin (2)

= sin (2)

\int_{0}^{π} - 3 sin (t) cos (t) d t

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

\int_{0}^{\infty} z e^{- z^{2}} d z

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

\int_{1}^{5} \frac{5 x ^{2} - 2}{x ^{3}} d x

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