EASY
JEE Main/Advance
IMPORTANT
Earn 100

The area of the region for which 0<y<3-2x-x2 and x>0 is - 

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Important Questions on Area under Curves

MEDIUM
JEE Main/Advance
IMPORTANT
The area bounded by the curves y=x1-lnx and positive x-axis between x=e-1 and x=e is - 
HARD
JEE Main/Advance
IMPORTANT
The curve fx=Ax2+Bx+C passes through the point 1, 3 and line 4x+y=8 is tangent to it at the point (2, 0). The area enclosed by y=f(x), the tangent line and the y-axis is -
HARD
JEE Main/Advance
IMPORTANT
Let y=g(x) be the inverse of a bijective mapping f:RR, where f(x)=3x3+2x. The area bounded by graph of g(x), the x-axis and the ordinate at x=5 is -
HARD
JEE Main/Advance
IMPORTANT

If C1y=11+x2 and C2y=x22 be two curves lying in xy plane. Then 

 

HARD
JEE Main/Advance
IMPORTANT
Area enclosed by the curves y=lnx; y=lnx; y=lnx and y=lnx is equal to 
HARD
JEE Main/Advance
IMPORTANT

y=f(x)  is a function which satisfies

(i) f(0)=0 

ii f''x=f'x and

(iii) f'(0)=1.

Then, the area bounded by the graph of  y=f(x), the lines x=0, x-1=0 and y+1=0, is

HARD
JEE Main/Advance
IMPORTANT

Let T be the triangle with vertices 0, 0, 0, c2 and c, c2 and let R be the region between y=cx and y=x2 where c>0 then 

MEDIUM
JEE Main/Advance
IMPORTANT
Suppose gx=2x+1, hx=4x2+4x+5 and hx=fogx. The area enclosed by the graph of the function y=fx and the pair of tangents drawn to it from the origin, is