Home
Class 12
MATHS
Find the area bounded by the curve y=sin...

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
Promotional Banner

Topper's Solved these Questions

  • AREA

    CENGAGE PUBLICATION|Exercise Solved Examples|10 Videos
  • AREA

    CENGAGE PUBLICATION|Exercise Concept Application Exercise 9.1|9 Videos
  • APPLICATIONS OF DERIVATIVES

    CENGAGE PUBLICATION|Exercise Subjective Type|2 Videos
  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise Comprehension|11 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 y=4x(x-1)(x-2) and the x-axis.

Find the area bounded by the curve x^(2) = 4y and the line x = 4y - 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=x(x-1)^(2) , the y-axis and the line y=2.

The area bounded by the curves y=xe^x,y=xe^-x and the lines x=1 is

If A_n be the area bounded by the curve y=(tanx)^n and the lines x=0,\ y=0,\ x=pi//4 , then for n > 2.

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 = x^(2) and the line y = 4.

Find the area of the region bounded by the curve y^(2) = 4x and the line x = 3.