Tamil Nadu Board of Secondary EducationHSC Arts Class 11th

# Integrate the following functions with respect to x: 3x+2 - Mathematics

Sum

Integrate the following functions with respect to x:

sqrt(3x + 2)

#### Solution

int("a"x + "b")^"n"  "d"x = int(3x + 2)^(1/2) * "d"x

= 1/3 (3x + 2)^(1/2 + 1)/(1/2 + 1) + "c"

= 1/3 (3x + 2)^(3/2)/(3/2) + "c"

= 1/3 xx 2/3 (3x + 2)^(3/2) + "c"

= 2/9 (3x + 2)^(3/2) + "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. (iii) | Page 190
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