Find the area bounded by the curve `y=sin^(-1)x`
and the line `x=0,|y|=pi/2dot`
Text Solution
Verified by Experts
The area of the shaded region (Intergrating along y-axis) `=2overset(pi//2)underset(-pi//2)int|sin y| dy=2 overset(pi//2)underset(0)intsin ydy =2` sq. units
Topper's Solved these Questions
AREA
CENGAGE|Exercise Exercise 9.1|9 Videos
AREA
CENGAGE|Exercise Exercise 9.2|14 Videos
APPLICATIONS OF DERIVATIVES
CENGAGE|Exercise Subjective Type|2 Videos
AREA UNDER CURVES
CENGAGE|Exercise Question Bank|10 Videos
Similar Questions
Explore conceptually related problems
Find the area bounded by the curves x+2|y|=1 and x=0 .
Find the area bounded by the curve x^(2) = 4y and the line x = 4y -2 .
Find the area bounded by the curve x^(2) = 4y and the line x = 4y -2 .
Find the area bounded by the curve x=7 -6y-y^2 .
Let A_n be the area bounded by the curve y=(tanx)^n and the lines x=0,y=0, and x=pi/4dot Prove that for n >2,A_n+A_(n-2)=1/(n-1) and deduce 1/(2n+2)
Find the area bounded by the curves y=x^(3)-x and y=x^(2)+x.
Find the area bounded by the curve y = sin x between x = 0 and x = 2pi .
Find the area of the region bounded by the curve y^(2) = x and the lines x = 1, x = 4 and the x -axis.
Find the area of the region bounded by the curve y = x^(2) and the line y = 4.