Tamil Nadu Board of Secondary EducationHSC Arts Class 11th

Integrate the following with respect to x: (x5)18 - Mathematics

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Sum

Integrate the following with respect to x:

`(x^5)^(1/8)`

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Solution

`int (x^5)^(1/8)  "d"x = int x^(5/8) * "d"x`

= `(x^(5/8 + 1))/(5/8 + 1) + "c"`

= `(x^(5 + 8/8))/((5 + 8)/8) + "c"`

= `(x^(13/8))/(13/8) + "c"`

`int (x^5)^(1/8) "d"x = 8/13 x^(13/8) + "c"`

Concept: Basic Rules of Integration
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APPEARS IN

Tamil Nadu Board Samacheer Kalvi Class 11th Mathematics Volume 1 and 2 Answers Guide
Chapter 11 Integral Calculus
Exercise 11.1 | Q 1. (iv) | Page 188
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