JEE Main 202229 Jul, Morning shiftMathematicsMediumIntegral Calculus369× since 2002The area of the region {(x,y):∣x−1∣≤y≤5−x2}\left\{(x, y):|x-1| \leq y \leq \sqrt{5-x^{2}}\right\}{(x,y):∣x−1∣≤y≤5−x2} is equal to :AOption A. 52sin−1(35)−12\frac{5}{2} \sin ^{-1}\left(\frac{3}{5}\right)-\frac{1}{2}25sin−1(53)−21BOption B. 5π4−32\frac{5 \pi}{4}-\frac{3}{2}45π−23COption C. 3π4+32\frac{3 \pi}{4}+\frac{3}{2}43π+23DOption D. 5π4−12\frac{5 \pi}{4}-\frac{1}{2}45π−21CheckSkip · show solution
