Home
Class 12
MATHS
Let p(x) be a function defined on R such...

Let p(x) be a function defined on R such that `p'(x) = p' (1 - x)`, for all `x in [0,1], p(0) = 1 and p (1) = 41.`
Then `int_0^1 p(x) dx` equals :

A

`sqrt(41)`

B

`21`

C

`41`

D

`42`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise RECENT COMPETITIVE QUESTIONS|21 Videos
  • DEFINITE INTEGRALS

    MODERN PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (LEVEL - II)|42 Videos
  • COMPLEX NUMBERS

    MODERN PUBLICATION|Exercise Questions from karnataka CET & COMED|15 Videos
  • DETERMINANTS

    MODERN PUBLICATION|Exercise Recent competitive Questions|10 Videos

Similar Questions

Explore conceptually related problems

Let f be a real valued function defined on the interval (-1,1) such that e^(-x) f(x) = 2 + int_0^x sqrt(t^4 + 1) dt , for all x in (-1, 0) and let f^(-1) be the inverse function of f. Then (f^(-1))'(2) is equal to :

If p(x) = 5x^(2)-3x + 7 , then p(1) equals to :

Let f(x) = (1 - cos px)/(x sin x) , where x ne 0 and f(0) = (1)/(2) . If f is continuous at 0, then p is equal to :

Let p(x)=a^(2)+bx,q(x)=lx^(2)+mx+n . If p(1)-q(1)=0,p(2)-q(2)=1andp(3)-q(3)=4 , then p(4)-q(4) equals :

If P(A) = P(B) = x and P(A cap B) = P(A^(') cap B^(')) = 1/3 then x =

Events A,B,C are mutually exclusive events such that P(A) = (3x+1)/3 , P(B) = (1-x)/4 and P(C ) = (1-2x)/2 . The set of possible values of x are in the interval :

p(x) =x +2. Find p(1), p (2),p (-1) and p (-2). Which among 1,2,-1 and -2 becomes the 0 of p (x) ?

Let X and Y be two events such that : P(X//Y)=1/2,P(Y//X)=1/3 and P(X cap Y) = 1/6 . Which of the following is (are) correct ?