Find the area bounded by the curve `x={{:(-2-y",",ylt-1),(y^(3)",",-1leyle1),(2-y",",ygt1):}` and x=0 is
Text Solution
Verified by Experts
Required are is same as area bounded by curve `y={{:(-2-x",",clt-1),(x^(3)",",-1lexle1 and y=0),(2-x",",xgt1):}` `"Required area "=2overset(1)underset(0)intx^(3)dx+2overset(2)underset(1)int(2-x)dx` `=2[(x^(4))/(4)]_(0)^(1)+2[2x-(x^(2))/(2)]_(1)^(2)` `=2[(1)/(4)]+2[4-(4)/(2)-2+(1)/(2)]` `=(3)/(2)`
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 curve x=7 -6y-y^2 .
Find the area bounded by the curves x+2|y|=1 and x=0 .
Find the area bounded by the curve x^2=y ,x^2=-ya n dy^2=4x-3
Find the area bounded by the curves y=x^(3)-x and y=x^(2)+x.
Find the area bounded by curves {(x,y): y ge x^(2) and y = |x|}
Find the area bounded by the curves x^2+y^2=4, x^2=-sqrt2 y and x=y
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 .
