Application of Integrals
Let F(x)=∫xx2+6π[2cos2t.dt] for all x∈R and f:[0,21]→[0,∞) be a continuous function.For a∈[0,21], if F'(a)+2 is the area of the region bounded by x=0,y=0,y=f(x) and x=a, then f(0) is
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
The area enclosed by the curve y=4−x2,y≥2sin(22xπ)
, and the x-axis
is divided by the y-axis
in the ratio.
Find the area enclosed by the parabola 4y=3x2
and the line 2y=3x+12.
is the positive quadrant of the ellipse a2x2+b2y2=1
. Then find the area between the are AB
and the chord AB
of the elipse.
Using integration find the area of the triangular region whose sides have the equations y=2x+1, y=3x+1 and x=4.
Area lying between the curves y2=4xand y=2xis(A) 32 (B) 31 (C) 41 (D) 43
Determine the area under the curve y=a2−x2
included between the lines x=0andx=a˙
Find the area bounded by y=x3−xandy=x2+x˙
Find the area lying above x-axis and included between the circle x2+y2=8xand the parabola y2=4x.