Home
Class 12
MATHS
If f(x)=int0^xtsintdt, then f'(x) is :...

If `f(x)=int_0^xtsintdt`, then `f'(x)` is :

A

`cosx+x sin x`

B

`x sinx`

C

`x cos x`

D

`sinx+xcosx`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION II MOST IMPORTANT QUESTIONS FOR PRACTICE)|28 Videos
  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT (SECTION III MOST IMPORTANT QUESTIONS FOR PRACTICE)|39 Videos
  • INTEGRALS

    BETTER CHOICE PUBLICATION|Exercise SOLVED EXAMPLES|5 Videos
  • DIFFERENTIAL EQUATIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE|50 Videos
  • INVERSE TRIGONOMETRIC FUNCTIONS

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)|48 Videos

Similar Questions

Explore conceptually related problems

For x epsilon(0,(5pi)/2) , definite f(x)=int_(0)^(x)sqrt(t) sin t dt . Then f has

Statement I If f (x) = int_(0)^(1) (xf(t)+1) dt, then int_(0)^(3) f (x) dx =12 Statement II f(x)=3x+1

Let f(x) be a differentiable function such that f(x)=x^2 +int_0^x e^-t f(x-t) dt then int_0^1 f(x) dx=

If int f(x)dx=F(x), then intx^3f(x^2)dx is equal to :

Statement I The function f(x) = int_(0)^(x) sqrt(1+t^(2) dt ) is an odd function and STATEMENT 2 : g(x)=f'(x) is an even function , then f(x) is an odd function.

If int_0^x f(t) dt=x+int_x^1 tf(t)dt, then the value of f(1) is

Let f(x)=int_(0)^(x)e^(t)(t-1)(t-2)dt. Then, f decreases in the interval