Airforce X Y / Indian Navy SSR Exam > Airforce X Y / Indian Navy SSR Notes > Mathematics for Airmen Group X > JEE Advanced (Fill in the Blanks): Indefinite Integrals
JEE Advanced (Fill in the Blanks): Indefinite Integrals | Mathematics for Airmen Group X - Airforce X Y / Indian Navy SSR PDF Download
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.
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