# Test: Definite Integral (Competition Level) - 1

## 30 Questions MCQ Test Mathematics (Maths) Class 12 | Test: Definite Integral (Competition Level) - 1

Description
This mock test of Test: Definite Integral (Competition Level) - 1 for JEE helps you for every JEE entrance exam. This contains 30 Multiple Choice Questions for JEE Test: Definite Integral (Competition Level) - 1 (mcq) to study with solutions a complete question bank. The solved questions answers in this Test: Definite Integral (Competition Level) - 1 quiz give you a good mix of easy questions and tough questions. JEE students definitely take this Test: Definite Integral (Competition Level) - 1 exercise for a better result in the exam. You can find other Test: Definite Integral (Competition Level) - 1 extra questions, long questions & short questions for JEE on EduRev as well by searching above.
QUESTION: 1

### Solution:

Given QUESTION: 2

### if then Solution:

Even  function QUESTION: 3

### Solution:  QUESTION: 4 Solution:

use QUESTION: 5 Solution:  QUESTION: 6 Solution:
QUESTION: 7 Solution: Period of |sinx| is π
Therefore, the integration becomes  = (-9) *(-1)*( [cosx]x=2π – [cosx]x=π)
= 9 * (1 – (-1))
= 18

QUESTION: 8 Solution:

Given QUESTION: 9

if ​from

Solution:  QUESTION: 10 Solution: QUESTION: 11

If Solution:

use QUESTION: 12 Solution: QUESTION: 13

If 0 < a < c, 0 < b < c then Solution: QUESTION: 14 Solution: QUESTION: 15 Solution:

Put x4 =t

QUESTION: 16

If Solution:

Sin x = t

QUESTION: 17 Solution:

Split into two integrals

QUESTION: 18 Solution:

Put 1/x= t

QUESTION: 19 Solution: QUESTION: 20 Solution:

Log x = t

QUESTION: 21 Solution: QUESTION: 22 Solution:  QUESTION: 23 Solution: QUESTION: 24

If and Solution:  QUESTION: 25 Solution:

Given function is odd

QUESTION: 26 Solution:

x11 cos x is an odd function.

QUESTION: 27

The function is

Solution:

Solution we know that if f(t) is an odd function the dt is given integral since is odd, the given integral is even

QUESTION: 28

Value of Solution:

Given QUESTION: 29 Solution:

use formula QUESTION: 30 Solution:

Using 