First slide

Evaluation of definite integrals

Question

The value of $\int_{- 2}^{2} |3 x^{2} - 3 x - 6| d x$

Moderate

Solution

$\begin{matrix} \int_{- 2}^{2} |3 x^{2} - 3 x - 6| d x = 3 \int_{- 2}^{2} |x^{2} - x - 2| d x \\ = 3 \int_{- 2}^{2} |(x - 2) (x + 1)| d x \\ = 3 \{\int_{- 2}^{- 1} (x^{2} - x - 2) d x + \int_{- 1}^{2} (2 + x - x^{2}) d x\} \\ = 19 \end{matrix}$

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App