Home
Class 12
MATHS
If f(x) = int0^x tsint dt, then find f^...

If f(x) = `int_0^x tsint dt`, then find
`f^'(x)`

A

cos x+x sin x'

B

'x sin x'

C

x cos x'

D

sin x+x cos x'

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DIFFERENTIAL EQUATIONS

    V PUBLICATION|Exercise QUESTION BANK|149 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    V PUBLICATION|Exercise QUESTION BANK|80 Videos

Similar Questions

Explore conceptually related problems

If f(x)=cosx-int_(0)^(x)(x-t)f(t)dt , then f''(x)+f(x) is equal to a) -cosx b) -sinx c) int_(0)^(x)(x-t)f(t)dt d)0

If f (x)= int _(1) ^(x) sin ^(2) ((t)/(2)) dt, then the value of lim _(x to 0) (f (pi +x ) -f (pi))/(x) is equal to

Let f(x) = x^2 - 2x + 3 . Then find f (f (x) )

If f(x) is an odd function,then int_-a^af(x)=?

Let f(x)=x(x-1)(x-2) , x in [0,2] Find f^'(x)

If f(x)=int_(1)^(x)(tan^(-1)(t))/(t)dt,AA x in R^(+) then the value of f(e^(2))-f((1)/(e^(2))) is a)0 b) pi/2 c) pi d) 2pi