HSC Commerce (Marketing and Salesmanship) 12th Board ExamMaharashtra State Board
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Evaluate : ∫ 1 9 X 2 + 49 D X - HSC Commerce (Marketing and Salesmanship) 12th Board Exam - Mathematics and Statistics

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Question

Evaluate : `int 1/(9x^2+49) dx` 

Solution

`int 1/(9x^2+49) dx`  

`int 1/((3x)^2+(7)^2) dx`  

Put 3x=t

`dx=dt/3` 

=`1/3int dt/(t^2+7^2)` 

=`1/3[1/7tan -1t/7]+c` 

= `1/21 tan-1  (3x)/7+c`

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APPEARS IN

 2017-2018 (March) (with solutions)
Question 1.8 | 2.00 marks

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Solution Evaluate : ∫ 1 9 X 2 + 49 D X Concept: Indefinite Integration - Integral of Standard Functions.
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