Balbharati Maharashtra State BoardStd 12 Commerce Statistics Part 1 Digest PdfChapter 5 Integration Ex 5.2 Questions and Answers.
Maharashtra State Board 12th Commerce Maths Solutions Chapter 5 Integration Ex 5.2
Evaluate the following.
Question 1
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Question 2
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Question 3
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Question 4
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Question 5
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∫(x + 1)(x + 2)7(x + 3) dx
Solution & Step-by-Step Answer:
Let I = ∫(x + 1)(x + 2)7(x + 3) dx = ∫(x + 2)7 (x + 1)(x + 3) dx = ∫(x + 2)7 [(x + 2) – 1][(x + 2) + 1] dx = ∫(x + 2)7 [(x + 2)2 – 1] dx = ∫[(x + 2)9 – (x + 2 )7] dx = ∫(x + 2 )9 dx – ∫(x + 2)7 dx = – + c
Question 6
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Solution & Step-by-Step Answer:
Put log x = t ∴ dx = dt ∴ = ∫ dt = log |t| + c = log|log x| + c.
Question 7
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Question 8
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Question 9
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Question 10
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