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Evaluate ∫(5x+1)49 dx - Mathematics and Statistics

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Question

Evaluate `int (5"x" + 1)^(4/9)` dx

Sum

Solution

Let I = `int (5"x" + 1)^(4/9)` dx

`= (5"x" + 1)^(4/9 + 1)/((4/9 + 1) xx 5)` + c

`= (5"x" + 1)^(13/9)/(13/9 xx 5)` + c

∴ I = `9/65 (5"x" + 1)^(13/9)` + c

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Chapter 5: Integration - MISCELLANEOUS EXERCISE - 5 [Page 138]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 5 Integration
MISCELLANEOUS EXERCISE - 5 | Q IV. 1) ii) | Page 138
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