Class XII Maths Integrals 3

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Question 1

-

• A + c
• Be^x + c
• C+ c
• D + c

Question 2

If dx = tan^–1f(x) –tan^–1 g(x) + c, then -

• Af(x) = x + , g(x) = x³
• Bf(x) = x² + , g (x) = x^–3
• Cf(x) = x² – , g (x) = x^–3
• Df(x) = x – , g(x) = x³

Question 3

dx is equal to -

• A10^x – x¹⁰ + c
• B10^x + x¹⁰ + c
• C(10^x – x ¹⁰)^–1 + c
• Dlog (10^x + x¹⁰) + c

Question 4

dx is equal to -

• A + c
• B– + c
• C + c
• DNone of these

Question 5

=

• Atan^–1(sec x + cos x) + c
• Blog tan^–1 (sec x + cos x) + c
• C + c
• DNone of these

Question 6

dx equals -

• Asec^–1 (sin x + cos x) + C
• Bsec^–1 (sin x – cos x) + C
• Cln | (sin x + cos x) + | + C
• Dln | (sin x – cos x) + | + C

Question 7

dx is equal to -

• A
• B
• C
• D

Question 8

equals -

• A
• B
• C
• D

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