Home
Class 12
MATHS
If intf(x)cos x dx = 1/2 f^(2)(x)+C, the...

If `intf(x)cos x dx = 1/2 f^(2)(x)+C`, then `f(x)` can be

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise 5 ( Matching Type Questions )|2 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|9 Videos

  • INDEFINITE INTEGRAL

    ARIHANT MATHS|Exercise Exercise (Statement I And Ii Type Questions)|5 Videos

  • HYPERBOLA

    ARIHANT MATHS|Exercise Hyperbola Exercise 11 : Questions Asked in Previous 13 Years Exams|3 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|8 Videos

Similar Questions

Explore conceptually related problems

If intf(x)dx=f(x), then int{f(x)}^2dx is equal to

If a function satisfies f(x+1)+f(x-1)=sqrt(2)f(x) , then period of f(x) can be

Knowledge Check

  • If f(x) = (x- 1)/( x + 1) , then f (2 x) is

    A
    `(f(x) +1)/( f(x)+3)`
    B
    `(3 f(x)+1)/(f(x) + 3)`
    C
    `(f(x) + 3)/( f(x)+1)`
    D
    `(f(x) + 3)/( 3 f (x) + 1)`

    • Similar Questions

    Explore conceptually related problems

    If f(x) = (x+2)/(3x-1) then f (f(x)) is

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

    int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C , then f(x) is equal to

    If f'(x)= sqrt(2x^(2)-1) and y=f(x^(2)),then (dy)/(dx) at x = 1 is

    Find f' (x) when f(x) = 2^(cos^2x)

    Let f(x) and g(x) be differentiable functions such that f(x)+ int_(0)^(x) g(t)dt= sin x(cos x- sin x) and (f'(x))^(2)+ (g(x))^(2) = 1,"then" f(x) and g (x) respectively , can be

    Show that int_0^a f(x)g(x)dx = 2 int_0^a f(x)dx , if f and g are defined as f(x) = f(a-x) and g(x) + g(a-x) = 4

    Home
    Profile