Ex 7.9, 20 - Direct Integrate (x ex + sin pi x / 4) dx - Definate Integration - By Formulae

Slide51.JPG
Slide52.JPG

  1. Chapter 7 Class 12 Integrals
  2. Serial order wise

Transcript

Ex7.9, 20 _0^1 ( ^ +sin /4 ) Step 1 :- Let F( )= 1 ( ^ + /4 ) = 1 ^ + 1 /4 Solving 1 ^ Integration by parts 1 ^ = 1 ^ 1 [( / ) 1 ^ ] = ^ 1 (+1. ^ ) = ^ 1 ^ = ^ ^ = ^ ( 1) Therefore, F( )= 1 ^ + 1 /4 = ^ ( 1)+1/( /4) ( /4) = ^ ( 1) 4/ /4 Hence, F( )= ^ ( 1) 4/ /4 Step 2 :- _0^1 ( ^ + /4) = (1) (0) = ^1 (1 1) 4/ (( 1))/4 ^0 (0 1)+4/ (( 0))/4 = 0 4/ (( ))/4 1( 1)+4/ cos 0 =( 4)/( ) (( ))/4+1+4/ =( 4)/( ) 1/ 2+1+4/ = + / ( )/

About the Author

Davneet Singh's photo - Teacher, Computer Engineer, Marketer
Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 8 years. He provides courses for Maths and Science at Teachoo. You can check his NCERT Solutions from Class 6 to 12.