Area under curves continued

If we plot a graph between force and time, the area under the curve and time - axis gives the value of

Let f be a function such that f"'(x) is continuous, f(x) ge 0, f(0) = 0,f'(0)=0, and f"(0) gt 0 The graph of f is shown below. Find the limit as x->0^+of the quotient (Area under curve and above [0,x])/( Area of triangle OAP)

Discussion OF Area Under Curve exercise q.no.1-19

Definite integration|| Area under curve|| Average value OF a function

Draw a rough sketch of the curve y=sqrtx-1) in the interval [1, 5]. Find the area under the curve and between the lines x = 1 and x = 5.

Draw a rough sketch of the curve y=sqrtx-1) in the interval [1, 5]. Find the area under the curve and between the lines x = 1 and x = 5.

Area under the curve y=sqrt(3x+4) between x=0 and x=4 is