The value of k for which the area of the figure bounded by the curve `y=8x^(2)-x^(5)`, the straight line `x=1` and `x=k` and the x-axis is equal to `16//3`

If S is the sum of cubes of possible value of c for which the area of the figure bounded by the curve y=8x^(2)-x^(5), then straight lines x=1 and x=c and the abscissa axis is equal to (16)/(3), then the value of [S], where [.] denotest the greatest integer function,is

One value of k for which the area of the figure bounded by the curve y=8x^2-x^5 , the st. lines x=1 and x=k and x-axis is equal to 16/3 is :

Find the value of ‘c’ for which the area of the figure bounded by the curve, y = 8x^(2) – x^(5) , the straight lines x = 1 and x = c and the abscissa axis is equal to 16//3 .

Which of the following is the possible value/values of c for which the area of the figure bounded by the curves y=sin 2x , the straight lines x=pi//6, x=c and the abscissa axis is equal to 1/2?

Which of the following is the possible value/values of c for which the area of the figure bounded by the curves y=sin 2x , the straight lines x=pi//6, x=c and the abscissa axis is equal to 1/2?

Which of the following is the possible value/values of c for which the area of the figure bounded by the curves y=sin 2x , the straight lines x=pi//6, x=c and the abscissa axis is equal to 1/2?

The value of a for which the area of the region bounded by the curve y = sin 2x , the straight lines x = pi//6, x = a and x-axis is equal to 1/2 is-

Determine the area of the figure bounded by two branches of the curve (y-x)^(2)=x^(3) and the straight line x=1 .