In case of each of the following statements, state whether it is true or false:
The area bounded by `y^2=x` and the lines x= 4 and x= 9 is equal to `underset(4)overset(9) int sqrtx dx`.

In case of each of the following statements, state whether it is true or false: The area bounded by the curve y = x^2 and the lines y = 1 and y = 4 is equal to underset(1)overset(4) int sqrty dy .

In case of each of the following statements, state whether it is true or false: The area bounded by curves y= sqrtx and y = x^2 is equal to underset(0)overset(1) int (sqrtx-x^2)dx .

In case of each of the following statements, state whether it is true or false: The area enclosed between the curves y = x^2 and x= y^2 is eqaul to underset(0)overset(1) int (x^2-sqrtx)dx .

In case of each of the following statements, state whether it is true or false: The area under the curve y = sqrt(1-x^2) is equal to underset(-1)overset(1) int sqrt(1-x^2)dx .

In case of each of the following statements, state whether it is true or false: The area enclosed by the curve 4x^2+4y^2= 9 is equal to 9/4pi square units.

Evaluate: underset4overset9int 1/2sqrtx dx

underset0overset8int x sqrt(x-4)dx

In case of each of the following statements, state whether it is true or false: The area enclosed by the x-axis, the graph of y= x^3 and the lines x= -1, x= 1 is twice the area lying in the first quadrant and bounded by the curves y= x^3 , y = 0 and x= 1.

underset2overset4int x/(x^2+1) dx

Evaluate: underset(0)overset(2)int(4-x^2)dx