Home
Class 12
MATHS
Let I=overset(1)underset(0)int (sin x)/(...

Let `I=overset(1)underset(0)int (sin x)/(sqrt(x))dx` and`I=overset(1)underset(0)int (cos x)/(sqrt(x))int dx`.
Then, which one of the following is true?

A

`I lt 2/3 and J lt 2`

B

` I lt 2/3 and J gt 2`

C

`I gt 2/3 and J lt 2`

D

` I gt 2/3 and J gt 2 `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -4 LEVEL-II|33 Videos

  • DEFINITE INTEGRATION

    MOTION|Exercise EXERCISE -3|55 Videos

  • CONTINUITY

    MOTION|Exercise EXERCISE - 4 (LEVEL -II) (PREVIOUS YEAR JEE ADVANCED)|5 Videos

  • DETERMINANTS

    MOTION|Exercise EXERCISE-4 (LEVEL-II)|6 Videos

Similar Questions

Explore conceptually related problems

Let I=int_(0)^(1) (sin x)/(sqrt(x))dx and I=int_(0)^(1) (cos x)/(sqrt(x))int dx . Then, which one of the following is true?

(i) int(x)/(1+sqrt(x))dx

(i) int(x)/(1+sqrt(x))dx

"I=int(x)/(sqrt((1-x)))dx

If I=int_(0)^(1//2) (1)/(sqrt(1-x^(2n)))dx then which one of the following is not true ?

If I=int_(0)^(1)(1)/(sqrt(2-x-x^(2)))*dx then which of the following is true

I=int(1)/(x-sqrt(x))dx

I=int(1)/(x+sqrt(x))dx

I=int(1)/(x-sqrt(x))dx