JEE Mains · Maths · STD 12 - 8. Application and integration
The area (in sq. units ) of the region \(\{ \left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\) and \(y \le 1 + \sqrt x \;\} \) is . . .
- A \(\frac{5}{2}\)
- B \(\frac{{59}}{{12}}\)
- C \(\frac{3}{2}\;\)
- D \(\frac{7}{3}\)
Answer & Solution
Correct Answer
(A) \(\frac{5}{2}\)
Step-by-step Solution
Detailed explanation
Area of shaded region \( = \int\limits_0^1 {(1 + \sqrt x )dx} + \int\limits_1^2 {(3 - x)dx - \int\limits_0^2 {\frac{{{x^2}}}{4}dx} } \)…
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