The value of `int_a^b(x-a)^3(b-x)^4dx` is

If (d)/(dx)f(x)=g(x) , then the value of int_(a)^(b)f(x)g(x)dx is -

If int_(-1)^4 f(x) dx =4 and int_2^4[3-f(x)]dx=7 then the value of int_(-1)^2 f(x) dx is

If int_(-1)^(4)f(x)dx=4 and int_(2)^(4){3-f(x)}dx=7 then the value of int_(-1)^(2)f(x)dx is

The value of int_(a)^(b)(x)/(|x|)dx, a lt b lt 0 , is equal to -

Let f(x) is continuous and positive for x in [a , b],g(x) is continuous for x in [a , b]a n dint_a^b|g(x)|dx >|int_a^bg(x)dx| STATEMENT 1 : The value of int_a^bf(x)g(x)dx can be zero. STATEMENT 2 : Equation g(x)=0 has at least one root for x in (a , b)dot

The value of int_0^1(x^4(1-x)^4)/(1+x^2)dx is/are (a) (22)/7-pi (b) 2/(105) (c) 0 (d) (71)/(15)-(3pi)/2

The value of int 5^(3x-4) dx is-

The value of int e^(3-5x)dx is-

The value of int_a^b(abs(x))/x dx , altblt0 is :

The value of int (3-4x)^(4)dx is-