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Integral Calculus

How do I solve this question????
Please help
Answer : Option 4

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Profile image of Neena Sharma
6 Years agoGrade
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1 Answer

Profile image of Vikas TU
6 Years ago
Dear student 
 integrate with respect to y:
Region is bounded on right by left side of y=(x−1)^2⟶x=1−√y
Region is bounded on left by right side of y=(x+1)^2⟶x=√y−1
A=∫1/4 to 1 ((1−√y)−(√y−1))dy
A=∫1/4 to 1 (2−2√y)dy
A=[2y−43y^1.5] 1/4 to 1 

A=1/3