Home
Class 12
MATHS
If int0^k1/(2+8x^2)dx=pi/(16),"f i n d...

If `int_0^k1/(2+8x^2)dx=pi/(16),"f i n dt h ev a l u eo f"kdot`

Text Solution

Verified by Experts

The correct Answer is:
`k=1/2`
Promotional Banner

Topper's Solved these Questions

  • INTEGRALS

    MODERN PUBLICATION|Exercise SUB CHAPTER 7.3 EXERCISE 7(p) FAQ|23 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise SUB CHAPTER 7.3 EXERCISE 7(p) SHORT ANSWER QUESTION TYPE|11 Videos
  • INTEGRALS

    MODERN PUBLICATION|Exercise SUB CHAPTER 7.3 EXERCISE 7(n) FAQ|10 Videos
  • DIFFERENTIAL EQUATIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (9)|12 Videos
  • INVERSE - TRIGONOMETRIC FUNCTIONS

    MODERN PUBLICATION|Exercise CHAPTER TEST (2)|11 Videos

Similar Questions

Explore conceptually related problems

If int_(0)^(k)(1)/(2+8x^(2))dx=(pi)/(16), find the value of k

if int_(0)^(k)(dx)/(2+8x^(2))=(pi)/(16) then find the value of k

If int_(0)^( pi)f(x)dx=pi+int_(pi)^(1)f(t)dx, then the value of (L) is :

If int_(0)^(x)f(t)dt=x+int_(x)^(1)f(t)dt ,then the value of f(1) is

IF f(x)=A si n ((pi x)/2)+B and f'(1/2)=sqrt2 and int_0^1 f(x)dx =(2A)/pi then what is the value of B

If f (x) =int _(0)^(g(x))(dt)/(sqrt(1+t ^(3))),g (x) = int _(0)^(cos x ) (1+ sint ) ^(2) dt, then the value of f'((pi)/(2)) is equal to:

Let f(x) be a continous function on R. If int_(0)^(1)[f(x)-f(2x)]dx=5 and int_(0)^(2)[f(x)-f(4x)]dx=10 then the value of int_(0)^(1)[f(x)-f(8x)]dx=

If f(x) =int_(0)^(x) sin^(4)t dt , then f(x+2pi) is equal to

int_(0)^( If )(f(t))dt=x+int_(x)^(1)(t^(2)*f(t))dt+(pi)/(4)-1 then the value of the integral int_(-1)^(1)(f(x))dx is equal to