`int_(m)^(0)f(x)dx`is

int_(0)^(a)f(x)dx

f:[0,5]rarrR,y=f(x) such that f''(x)=f''(5-x)AAx in [0,5] f'(0)=1 and f'(5)=7 , then the value of int_(1)^(4)f'(x)dx is

If f(k - x) + f(x) = sin x , then the value of integral I = int_(0)^(k) f(x)dx is equal to

Let f(x) be a differentiable function in the interval (0, 2) then the value of int_(0)^(2)f(x)dx

Prove that int_(0)^(2a)f(x)dx=int_(0)^(a)[f(a-x)+f(a+x)]dx

Statement-1: int_(0)^(pi//2) (1)/(1+tan^(3)x)dx=(pi)/(4) Statement-2: int_(0)^(a) f(x)dx=int_(0)^(a) f(a+x)dx

If int_(0)^(100) f(x)dx=7, then sum_(r=1)^(100)int_(0)^(1)f(r-1+x)dx= _________.

STATEMENT-1 : int_(0)^(2)[x+[x+[x]]]dx=3 and STATEMENT-2 : int_(a)^(b)f(x)dx=int_(a)^(b)f(a+b-x)dx

If f(a+x)=f(x), then int_(0)^(na) f(x)dx is equal to (n in N)

Iff(2-x)=f(2+x)a n df(4-x)=f(4+x) for all xa n df(x) is a function for which int_0^2f(x)dx=5,t h e nint_0^(50)f(x)dx is equal to (a)125 (b) int_(-4)^(46)f(x)dx (c) int_1^(51)f(x)dx (d) int_2^(52)f(x)dx