हिंदी

Evaluate ∫(5x+1)49 dx

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प्रश्न

Evaluate `int (5"x" + 1)^(4/9)` dx

योग
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उत्तर

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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अध्याय 5: Integration - MISCELLANEOUS EXERCISE - 5 [पृष्ठ १३८]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
अध्याय 5 Integration
MISCELLANEOUS EXERCISE - 5 | Q IV. 1) ii) | पृष्ठ १३८

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