Chapter 7 Class 12 Integrals
Concept wise

Example 36 - Chapter 7 Class 12 Integrals

Last updated at July 26, 2026 by

Example 36 - Evaluate integral (x4 - x)1/4 / x5 dx - Examples - Examples

part 2 - Example 36 - Examples - Serial order wise - Chapter 7 Class 12 Integrals

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Example 36 Evaluate āˆ«1ā–’(š‘„^4 āˆ’š‘„)^(1/4)/š‘„^5 š‘‘š‘„ āˆ«1ā–’(š‘„^4 āˆ’ š‘„)^(1/4)/š‘„^5 š‘‘š‘„ Taking š‘„^4 common from numerator =āˆ«1ā–’怖(š‘„^4 )^(1/4) (1 āˆ’ š‘„/š‘„^4 )怗^(1/4)/š‘„^5 š‘‘š‘„ = āˆ«1ā–’(š‘„ (1 āˆ’ 1/š‘„^3 )^(1/4))/š‘„^5 š‘‘š‘„ = āˆ«1ā–’(1 āˆ’ 1/š‘„^3 )^(1/4)/š‘„^4 š‘‘š‘„ Let t = 1 āˆ’ 1/š‘„^3 š‘‘š‘”/š‘‘š‘„=3/š‘„^4 Substituting values, =āˆ«1ā–’怖š‘” 怗^(1/4)/3 š‘‘š‘” = 1/3 (š‘”^( 1/(4 ) + 1)/(1/4 +1))+ C = 1/3 ((š‘”^( 5/4) )/(5/4))+ C = 4/15 怖š‘” 怗^(5/4)+ C = šŸ’/šŸšŸ“ (šŸāˆ’šŸ/š’™^šŸ‘ )^( šŸ“/šŸ’)+ C

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