HSC Commerce 12th Board ExamMaharashtra State Board
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution for Evaluate : ∫ 2 1 1 ( X + 1 ) ( X + 3 ) D X - HSC Commerce 12th Board Exam - Mathematics and Statistics

Login
Create free account


      Forgot password?

Question

Evaluate : `int_1^2 1/((x+1)(x+3)) dx` 

Solution

`int_1^2 1/((x+1)(x+3)) dx`   

= `1/2int_1^2(1/(x+1)-1/(x+3))dx` 

=`1/2[{log(x+1)}_1^2-{log(x+3)}_1^2]` 

=`1/2[(log)3-log2)-(log 5-log4)]` 

=`1/2(log3+log4)-(log2+log5)` 

=`1/2[log12-log10]` 

=`(1/2)log (12/10)` 

∴`int_1^2 1/((x+1)(x+3))dx=1/2 log (6/5)`

  Is there an error in this question or solution?

APPEARS IN

 2017-2018 (March) (with solutions)
Question 3.2.3 | 4.00 marks
Solution Evaluate : ∫ 2 1 1 ( X + 1 ) ( X + 3 ) D X Concept: Maxima and Minima.
S
View in app×