MTH101 Quiz 4 by Iqra Azhar

........... is used to prove the first fundamental theorem of calculus. Mean value theorm of derivative The volume of the sphere with radius r can be calculated by ---------------

The integral of f(x)=sin(2x) from x=0 to x=pi is ........

If the definite integral of f(x)=3 over [1,x] is greater than ‘12’ then ----- x>5 If f is continuous at every point of [a,b] and F is anti - derivative of f on [a,b], thenSelect the correct option ∫baf(x)dx=F(a)−F(b)none of f integral of ‘f(x)’ from [1,2] = 5 ,and integral of ‘f(x)’ from [3,2] = 4 , than integral of ‘f(x)’ from [1,3] is ………. these∫baf(x)dx=F(a)+F(b)∫baf(x)dx=F(b)−F(a) b a f x dx Fb Fa

The value of the ∫01 t^ 3dt=_______.

If integral of ‘f(x)’ from [1,2] = 5 ,and integral of ‘f(x)’ from [3,2] = 4 , than integral of ‘f(x)’ from [1,3] is

EVERY continuous function on an interval has an anti-derivative …………… On the interval Derivative of f(x)= a-7,where a is a constant is....

We will get a _________ by moving a 2d plane in a direction along a line perpendicular to the region. Right cylinder The integral of f(x) =sin(x+1) from x=0 to x=1 is .......... cos(1)−cos(2) The conclusion of the 2nd fundamental theorem of calculus can be expressed in words as: "the derivative of an integral of a function is that…………..” original function. The integral of the sum of two functions is equal to the sum of their integrals. true The value of ∫1 x y2dy=_____. x^3/3 -1/3 the volume of solid obtained when the region under the curve y=x3 over the interval [1,3] is revolved about the x-axis isSelect the correct option

If integral of ‘f(x)’ from [-8,16] = 54 , then integral of ‘5f{x)’ from [-8,16] =………..