NZ Level 8 (NZC) Level 3 (NCEA) [In development]
Finding primitive functions, indefinite integrals, definite integrals (mixed functions)

## Interactive practice questions

Integrate $\cos6x$cos6x.

You may use $C$C as the constant of integration.

Easy
Less than a minute
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Find the integral of $\sin\left(\frac{x}{3}\right)$sin(x3).

You may use $C$C as the constant of integration.

State a primitive function of $6\sin x-\cos x$6sinxcosx.

You may use $C$C as a constant.

Integrate $\sin\left(x-\frac{\pi}{6}\right)$sin(xπ6).

You may use $C$C as the constant of integration.

### Outcomes

#### M8-11

Choose and apply a variety of differentiation, integration, and antidifferentiation techniques to functions and relations, using both analytical and numerical methods

#### 91579

Apply integration methods in solving problems