Application of Integrals
Find the area enclosed by the parabola 4y=3x2 and the line 2y=3x+12.
Let f(x)=x3+3x+2andg(x) be the inverse of it. Then the area bounded by g(x) , the x-axis, and the ordinate at x=−2andx=6 is 41squ˙nits (b) 34squ˙nits 45squ˙nits (d) 37squ˙nits
Area bounded by the curve xy2=a2(a−x) and the y-axis is 2πa2squ˙nits (b) πa2squ˙nits 3πa2squ˙nits (d) None of these
Let C be a curve passing through M(2,2) such that the slope of the tangent at anypoint to the curve is reciprocal of the ordinate of the point. If the area bounded by curve C and lin x=2i s A ,t h e nt h e v a l u e of 23Ai s__
Find the area of the region bounded by the x-axis and the curves defined by y=tanx(where−3π≤x≤3π) and y=cotx(where6π≤x≤23x) .
The area of the region of the plane bounded by max(∣x∣,∣y∣)≤1andxy≤21 is 21+1n2squ˙nits (b) 3+1n2squ˙nits 431squ˙nits (d) 1+21n2squ˙nits