MTH101 quiz2

  The volume of solid obtained when the region under the curve x=y over the interval [1,4] is revolved about the y-axis is

 Iff(x)⩾g(x)foranytwonumbersuchthat,a⩽x⩽b,wehave,

If the definite integral of f(x)=3 over [1,x] is greater than ‘12’ then -----

 Theboundedregionbetweentheparabolay=4x2andtheliney=6x−2

If the solid is revolved around the x-axis and generates a solid with a circular cross section of radius f(x) at x. Then the area of this cross section .

 The volume of the solid generated by the region enclosed between y=x−−√ x=0 , x=1 and x-axis is revolved about y-axis.Which of the following equation gives the volume of solid by cylindrical shell ____.

While calculating Riemann sum it is necessary to take equal length subintervals.

he volume of the solid generated by the region enclosed between y=x−−√ x=1 , x=4 and x-axis is revolved about y-axis.Which of the following equation gives the volume of solid by cylindrical shell ___

First fundamental theorem of calculus gives the definite integral of a .......... function on a given closed interval in a quick way.

 Areaoftheregionboundedbythecurvesy=x2+2,y=−x;x=0andx=1is

 Findtheareabetweeny=xandy=−x(x−4)