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 Question Bank|29 Videos
AREA UNDER CURVES
CENGAGE|Exercise Question Bank|20 Videos
Similar Questions
Explore conceptually related problems
Find the area bounded by the curves y=4-x^(2) and the lines y=0 and y=3
Find the area bounded by the curve y=4-x^(2) and the line y=0 and y=3 .
Find the area bounded by the curve y=x^2+2x-3 and the line y=x+3 .
Find the area bounded by the curves x+2|y|=1 and x=0
Find the area bounded by the curves y=|sin x|, the x-axis and the lines |x|=pi
Find the area bounded by the curve y = sinx , the lines x = 0 and x = pi//2 .
Find the area of the bounded by the curve y^2 =2x+1 and the line x-y=1
Find the area bounded by the curve y=2x-x^(2) and the straight line y=-x
Find the area of the figure bounded by the curve y=sin^-1x , the lines x=0 and y=pi/2 .
Find the area bounded by the curve y=sin x between x=0 and x=2 pi