MEDIUM
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The area of the region bounded by parabola y2=16x and its latus rectum is_______ square units.

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Important Questions on Application of Definite Integrals

EASY
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IMPORTANT
The area of the region bounded by the lines y=mx, x=1, x=2 and X-axis is 6 sq.units, then m is
HARD
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IMPORTANT
The area in the first quadrant bounded by y=4x2, x=0, y=1 and y=4 is
HARD
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IMPORTANT
Value of the parameter 'a' such that the area bounded by y=a2x2+ax+1, coordinate axes and the line x=1, attains its least is equal to
MEDIUM
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The area enclosed by y=3x-5, y=0, x=3 and x=5 is
HARD
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IMPORTANT
Let fx=x2, gx=cosx and α,βα<β, the roots of the equation 18x2-9πx+π2=0. The area bounded by the curve y=fgx, the ordinates x=α, x=β and the x-axis is
MEDIUM
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IMPORTANT
The area of the region bounded by the curve y=cosx, x=0 and x=π  is
MEDIUM
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IMPORTANT
The area of the region bounded by x2=4y, y=1, y=4 and the Y-axis lying in the first quadrant in square units is
HARD
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IMPORTANT
The ratio in which the area bounded by the curves y2=12x and x2=12y is divided by the line x=3 is