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Example 36 - Chapter 7 Class 12 Integrals
Last updated at May 29, 2023 by Teachoo
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Question 1 Important Deleted for CBSE Board 2024 Exams
Question 2 Deleted for CBSE Board 2024 Exams
Question 3 (Supplementary NCERT) Important Deleted for CBSE Board 2024 Exams
Chapter 7 Class 12 Integrals
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Transcript
Example 36 Evaluate β«1β(π₯^4 βπ₯)^(1/4)/π₯^5 ππ₯ β«1β(π₯^4 β π₯)^(1/4)/π₯^5 ππ₯ Taking π₯^4 common from numerator =β«1βγ(π₯^4 )^(1/4) (1 β π₯/π₯^4 )γ^(1/4)/π₯^5 ππ₯ = β«1β(π₯ (1 β 1/π₯^3 )^(1/4))/π₯^5 ππ₯ = β«1β(1 β 1/π₯^3 )^(1/4)/π₯^4 ππ₯ Let t = 1 β 1/π₯^3 ππ‘/ππ₯=3/π₯^4 Substituting values, =β«1βγπ‘ γ^(1/4)/3 ππ‘ = 1/3 (π‘^( 1/(4 ) + 1)/(1/4 +1))+ C = 1/3 ((π‘^( 5/4) )/(5/4))+ C = 4/15 γπ‘ γ^(5/4)+ C = π/ππ (πβπ/π^π )^( π/π)+ C
