JEE Mains · Maths · STD 12 - 8. Application and integration
The area of the region \(A\,\{ \,(x,y)\,\,:\,\,0\,\, \le \,y\, \le \,x\,\left| x \right|\, + \,1\) and \( - \,1\, \le \,x\, \le \,1\,\} \) in sq. units, is
- A \(\frac {2}{3}\)
- B \(\frac {1}{3}\)
- C \(2\)
- D \(\frac {4}{3}\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
The graph is a follows \(\int\limits_{ - 1}^0 {\left( { - {x^2} + 1} \right)dx + \int\limits_0^1 {\left( {{x^2} + 1} \right)dx = 2} } \)
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