Question

Integrate the following.
`\int\limits^a_b {sin(x)} \, dx`

Answer 1

Answer: -cos(a)+cos(b)

Explanation:

To integrate is the same as saying to find the antiderivative.

`\int\limits^a_b {sin(x)} \, dx` [antiderivative of sinx is -cosx]

`-cos(x)|_b^a` [include boundaries]

`-cos(a)+cos(b)`

Therefore, the integral would be -cos(a)+cos(b).