Class XII Maths Integrals 2

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Question 1

is equal to -

• Acos (a – b) log + c
• Bsec (a – b) log + c
• Csin (a – b) log + c
• Dcosec (a – b) log + c

Question 2

sin dx is equal to -

• Ae^x/2 sin x/2 + c
• Be^x/2 cos x/2 + c
• Ce^x/2 sin x/2 + c
• De^x/2 cos x/2 + c

Question 3

If dx = f(x), then dx is equal to

• A[f(x)]²
• B[f(x)]³
• C [f(x)]³
• D[f(x)]²

Question 4

dx – dx is equal to -

• Auv + c
• Bu –v + c
• C2+ + c
• Du +v + c

Question 5

is equal to -

• Acos x – cos 2x + cos 3x + c
• Bcos x – cos 2x – cos 3x + c
• Ccos x + cos 2x + cos 3x + c
• Dcos x + cos 2x – cos 3x + c

Question 6

equals -

• Alog (e^x + e^–x) + c
• Blog (e^x – e^–x) + c
• Ctan^–1 (e^x) + c
• Dtan^–1 (e^–x) + c

Question 7

dx is equal to -

• Asin^–1 (x/a) –
• Bcos^–1 (x/a) –
• C
• Da cos^–1 (x/a) +

Question 8

equals -

• A(x log x)² – 2x log x + 2x + c
• Bx (log x)² – 2x log x + 2x + c
• Cx (log x)² + 2x log x + 2x + c
• DNone of these

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