Home
Class 12
MATHS
Let a+b=4,w h e r ea<2,a n dl e tg(x) be...

Let `a+b=4,w h e r ea<2,a n dl e tg(x)` be a differentiable function. If `(dg)/(dx)>0` for all `x ,` prove that `int_0^ag(x)dx+int_0^bg(x)dxin c r e r a s e sa s(b-a)in c r e r a s e sdot`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let a+b=4,w h e r ea 0 for all x , prove that int_0^ag(x)dx+int_0^bg(x)dxin c r e r a s e sa s(b-a)in c r e r a s e sdot

Let a+b=4,w h e r ea 0 for all x , prove that int_0^ag(x)dx+int_0^bg(x)dxin c r e r a s e sa s(b-a)in c r e r a s e sdot

Let a+b=4,w h e r ea 0 for all x , prove that int_0^ag(x)dx+int_0^bg(x)dxin c r e r a s e sa s(b-a)in c r e r a s e sdot

Let a+b=4,w h e r ea 0 for all x , prove that int_0^ag(x)dx+int_0^bg(x)dx increrases as (b-a) increrases dot

Evaluate int_a^b(dx)/(sqrt(x)),w h e r ea , b > 0.

Evaluate int_a^b(dx)/(sqrt(x)),w h e r ea , b > 0.

Evaluate int_a^b(dx)/(sqrt(x)),w h e r ea , b > 0.

Evaluate int_a^b(dx)/(sqrt(x)),w h e r ea , b > 0.

Prove that int_0^oo[cot^(-1)x]dx ,w h e r e[dot] denotes the greatest integer function.

Evalute : int e^(ax) sin (bx+c) dx , (a, b, c in R, b ne 0) on R.