Tamil Nadu Board of Secondary EducationHSC Arts Class 11th

Integrate the following functions with respect to x: (x + 5)6 - Mathematics

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Sum

Integrate the following functions with respect to x:

(x + 5)6 

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Solution

`int ("a"x + "b")^"n"  "d"x = 1/"a" ("a"x + "b")^("n" + 1)/("n" + 1) + "c"`

`int (x + 5)^6  "d"x = 1/1 (x + 5)^(6 + 1)/(6 + 1) + "c"`

= `(x + 5)^7/7 + "c"`

Concept: Integrals of the Form
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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 11.2 | Q 1. (i) | Page 190
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