JEE  >  Fill in the Blanks: Indefinite Integrals | JEE Advanced

# Fill in the Blanks: Indefinite Integrals | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE

## Document Description: Fill in the Blanks: Indefinite Integrals | JEE Advanced for JEE 2022 is part of Maths 35 Years JEE Main & Advanced Past year Papers preparation. The notes and questions for Fill in the Blanks: Indefinite Integrals | JEE Advanced have been prepared according to the JEE exam syllabus. Information about Fill in the Blanks: Indefinite Integrals | JEE Advanced covers topics like and Fill in the Blanks: Indefinite Integrals | JEE Advanced Example, for JEE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises and tests below for Fill in the Blanks: Indefinite Integrals | JEE Advanced.

Introduction of Fill in the Blanks: Indefinite Integrals | JEE Advanced in English is available as part of our Maths 35 Years JEE Main & Advanced Past year Papers for JEE & Fill in the Blanks: Indefinite Integrals | JEE Advanced in Hindi for Maths 35 Years JEE Main & Advanced Past year Papers course. Download more important topics related with notes, lectures and mock test series for JEE Exam by signing up for free. JEE: Fill in the Blanks: Indefinite Integrals | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE
 1 Crore+ students have signed up on EduRev. Have you?

Fill in the Blanks

Q.1.  then A = ......., B = ....... and C = .......             (1990 -  2 Marks)

Ans.

Solutions.

can have any real value.

Subjective Problems

Q. 1.              (1978)

Ans.

Solutions.

Q. 2.        (1979)

Ans.

Solutions.

Q. 3.              (1981 - 2 Marks)

Ans.

Solutions.

Q. 4.              (1983 - 2 Marks)

Ans.

Solutions.

Q. 5. Evaluate the following             (1984 - 2 Marks)

Ans.

Solutions.

Q. 6. Evaluate the following                  (1985 - 2½ Marks)

Ans.

Solutions.

Q. 7.              (1987 - 6 Marks)

Ans.

Solutions.

Q. 8.                  (1989 - 3 Marks)

Ans.

Solutions.

Put sin x – cos x = t ⇒ (cos x + sin x) dx = dt also (sin x – cos x)2 = t2 ⇒ 1 – sin 2x = t2\

Q. 9. Find the indefinite integral             (1992 -  4 Marks)

Ans.

Solutions.

Thus we get the value of I on substituting the values of I1 and I2 from (2) and (3) in equation (1).

Q. 10. Find the indefinite integral              (1994 -  5 Marks)

Ans.

Solutions.

∴ Integrating I with respect to θ, by parts we get

Q. 11.                 (1996 - 2 Marks)

Ans.

Solutions.

Q. 12. Integrate                     (1999 - 5 Marks)

Ans.

Solutions.

Comparing and solving, we get,

where C is constant of integration.

Q. 13.             (2001 - 5 Marks)

Ans.

Solutions.

Q. 14. For any natural number m, evaluate                (2002 - 5 Marks)

Ans.

Solutions.

The document Fill in the Blanks: Indefinite Integrals | JEE Advanced Notes | Study Maths 35 Years JEE Main & Advanced Past year Papers - JEE is a part of the JEE Course Maths 35 Years JEE Main & Advanced Past year Papers.
All you need of JEE at this link: JEE

## Maths 35 Years JEE Main & Advanced Past year Papers

132 docs|70 tests
 Use Code STAYHOME200 and get INR 200 additional OFF

## Maths 35 Years JEE Main & Advanced Past year Papers

132 docs|70 tests

### Top Courses for JEE

Track your progress, build streaks, highlight & save important lessons and more!

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

,

;