M0IITU16 - Indefinite integration qns

M0IITU16 - Indefinite integration qns - Integration 1. 1 7....

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1 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 1. x dx a bx 2 2 ( ) + = (A) 1 2 b x a b a bx a b a bx + + - + 2 1 2 log( ) (B) 1 2 b x a b a bx a b a bx - + + + 2 1 2 log( ) (C) 1 2 b x a b a bx a b a bx + + + + 2 1 2 log( ) (D) 1 2 b x a b a b a bx a b a bx + - + - + 2 1 2 log( ) 2. dx e x 1 + = (A) log (1 + e x ) (B) - log (1 + e - x ) (C) - log (1 - e - x ) (D) log (e - x + e - 2x ) 3. 1 2 - sin x dx = _____ , x ( ) 0 4 , π (A) - sin x + cos x (B) sin x - cos x (C) tan x + sec x (D) sin x + cos x 4. dx e e x x + - = (A) tan -1 (e -x ) (B) tan -1 (e x ) (C) log (e x - e -x ) (D) log (e x + e -x ) 5. dx x x x + log = (A) log (1 + log x) (B) log log (1 + log x) (C) log x + log (log x) (D) None of these 6. sin sin 2 1 2 x x + = (A) log sin 2x + c (B) log (1 + sin 2 x) + c (C) 1 2 log (1 + sin 2 x) + c (D) tan -1 (sin x) + c 7. 1 2 x log (x 2 + a 2 ) dx = (A) 1 x log (x 2 + a 2 ) + 2 a tan -1 x a + c (B) - 1 x log (x 2 + a 2 ) + tan -1 + c (C) - log (x 2 + a 2 ) - tan -1 + c (D) None of these 8. 1 1 - + x x = (A) sin -1 x - 1 2 1 2 - x + c (B) sin -1 x + 1 2 x + c (C) sin -1 x - 1 2 - x + c (D) sin -1 x + 1 2 - x + c 9. cot log sin x x dx = (A) log (log sin x) + c (B) log (log cosec x) + c (C) 2 log (log sin x) + c (D) None of these 10. x x 5 3 1 + dx = (A) 2 9 (1 + x 3 ) 3/2 + c (B) 2 9 (1 + x 3 ) 3/2 + 2 3 (1 + x 3 ) 1/2 + c (C) 9 (1 + x 3 ) 3/2 - 2 3 (1 + x 3 ) 1/2 + c (D) None of these 11. x e x x ( ) 1 2 + dx = (A) e x x - + 1 + c (B) - e x x - + 1 + c Integration
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2 QUEST TUTORIALS Head Office : E-16/289, Sector-8, Rohini, New Delhi, Ph. 65395439 (C) e x x 1 + + c (D) - e x x 1 + + c 12. dx x 1 - sin = (A) x + cos x + c (B) 1 + sin x + c (C) sec x - tan x + c (D) sec x + tan x + c 13. tan -1 x dx = (A) x tan -1 x + 1 2 log (1 + x 2 ) (B) x tan -1 x - 1 2 log (1 + x 2 ) (C) (x - 1) tan -1 x (D) x tan -1 x - log (1 + x 2 ) 14. ( ) e
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M0IITU16 - Indefinite integration qns - Integration 1. 1 7....

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