JEE Mains · Maths · STD 12 - 8. Application and integration
Let \(A\) be the area bounded by the curve \(y=x|x-3|\), the \(x\)-axis and the ordinates \(x=-1\) and \(x=2\). Then \(12\,A\) is equal to \(...........\).
- A \(61\)
- B \(63\)
- C \(62\)
- D \(64\)
Answer & Solution
Correct Answer
(C) \(62\)
Step-by-step Solution
Detailed explanation
\(A =\int \limits_{-1}^0\left( x ^2-3 x \right) dx +\int_0^2\left(3 x - x ^2\right) dx\) \(\Rightarrow \quad A =\frac{ x ^3}{3}-\left.\frac{3 x ^2}{2}\right|_{-1} ^0+\frac{3 x ^2}{2}-\left.\frac{ x ^3}{3}\right|_0 ^2\)…
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