JEE Mains · Maths · STD 12 - 7.2 definite integral
The value of \(\int_{-2}^{2}\left|3 x^{2}-3 x-6\right| d x\) is ...... .
- A \(19\)
- B \(17\)
- C \(23\)
- D \(13\)
Answer & Solution
Correct Answer
(A) \(19\)
Step-by-step Solution
Detailed explanation
\(\int_{-2}^{2} 3\left|x^{2}-x-2\right| d x\) \(=3 \int_{-2}^{2}\left|x^{2}-x-2\right| d x\) \(=3\left[\int_{-2}^{-1}\left(x^{2}-x-2\right) d x+\int_{-1}^{2}-\left(x^{2}-x-2\right) d x\right]\)…
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