Ex 7.10, 13 - Chapter 7 Class 12 Integrals
Last updated at Dec. 16, 2024 by Teachoo
Ex 7.10
Ex 7.10, 1
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Chapter 7 Class 12 Integrals
Serial order wise
Transcript
Ex 7.10, 13 By using the properties of definite integrals, evaluate the integrals : β«_((β π)/2)^(π/2)βsin^7β‘π₯ ππ₯ This is of form β«_(βπ)^πβπ(π₯)ππ₯ π(π₯)=sin^7β‘π₯ π(βπ₯)=sin^7β‘(βπ₯)=(βπ πππ₯)^7=(β1)^7 (π πππ₯)^7=βsin^7β‘π₯ Thus, π(βπ₯) =βπβ‘(π₯) β΄ β«_((βπ)/2)^(π/2)βsin^7β‘γπ₯ ππ₯=πγ
