Home
Class 12
MATHS
The solution of int(sqrt2)^(x) (dt)/(t s...

The solution of `int_(sqrt2)^(x) (dt)/(t sqrt( t^2 -1) )= (pi)/(12)` is a)1 b)2 c)3 d)4

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

The solution for x of the equation int_(sqrt(2))^(x)(dt)/(sqrt(t^(2)-1))=pi/2 is a) pi b) (sqrt(3))/(2) c) 2sqrt(2) d)None of these

The number of real solutions of tan^(-1)sqrt(x(x+1))+sin^(-1)sqrt(x^2+x+1)=pi//2 a)0 b)1 c)2 d) oo

The solution of sin^(-1)x - sin^(-1)2x = pm pi/3 is a) pm1/3 b) pi1/4 c) pmsqrt3/2 d) pm1/2

The solution of the equation (3+2sqrt2)^(x^2-8)+(3+2sqrt2)^(8-x^2)=6 is equal to a) 3 pm 2 sqrt2 b) pm 1 c) pm 7,pm sqrt3 d) pm 3, pm sqrt7

If int_(0)^(x)f(t)dt=x^(2)+e^(x)(xgt0) then f(1) is equal to a)1+e b)2+e c)3+e d)e

Find the equation of tangent to y=int_(x^(2))^(x^(3))(dt)/(sqrt(1+t^(2))) at x=1 .

The value of int_(0)^(1)sqrt(x)e^(sqrt(x))dx is equal to a) ((e-2))/(2) b) 2(e-2) c) 2e-1 d) 2(e-1)

int_(pi/6)^(pi/3) 1/(1+sqrt(cot x ))d x

The value of int _(2) ^(4) ((log t )/( t)) dt is a) 1/2 (log 2) ^(2) b) 3/2 (log 2) ^(2) c) (log 2) ^(2) d) 5/2 (log 2) ^(2)