**Level 1**

Integrate the following functions with respect to *x*.

a) cos(*x)*

b) sin(*x*)

**Solution**

a) Recall that, the function that was differentiated to get cos(*x*) was sin(*x*).

b) This is a bit tricky. cos(*x*) was differentiated to get** –**sin(*x*), not sin(*x*).

c) This is straightforward as in (a) above.

**Integration Techniques.**

A) *Simplification : Some trigonometric functions may seem difficult to integrate if they are not in their simplest form. Hence, a wise thing to do is to simplify before integrating. Your knowledge of double angles, compound angles and trigonometric identities is an advantage to you.*

Example

Calculate:

**Solution**

Now try this one.

Calculate:

If you need help, then view or download the solution.