Chapter 7 Class 12 Integrals
Concept wise

Ex 7.10, 17 - Chapter 7 Class 12 Integrals

Last updated at December 16, 2024 by

Ex 7.10, 17 - Evaluate root x / root x + root a - x dx - Ex 7.10 - Ex 7.10

part 2 - Ex 7.10, 17 - Ex 7.10 - Serial order wise - Chapter 7 Class 12 Integrals

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Ex 7.10, 17 By using the properties of definite integrals, evaluate the integrals : āˆ«_0^š‘Žā–’āˆšš‘„/(āˆšš‘„ + āˆš(š‘Ž āˆ’ š‘„)) š‘‘š‘„ Let I=āˆ«_0^š‘Žā–’āˆšš‘„/(āˆšš‘„ + āˆš(š‘Ž āˆ’ š‘„)) š‘‘š‘„ āˆ“ I=āˆ«_0^š‘Žā–’怖āˆš(š‘Ž āˆ’ š‘„)/(āˆš(š‘Ž āˆ’ š‘„) +āˆš(š‘Ž āˆ’ (š‘Ž āˆ’ š‘„) )) š‘‘š‘„怗 I= āˆ«_0^š‘Žā–’怖āˆš(š‘Ž āˆ’ š‘„)/(āˆš(š‘Ž āˆ’ š‘„) + āˆš(š‘Ž āˆ’ š‘Ž + š‘„)) š‘‘š‘„怗 I=āˆ«_0^š‘Žā–’怖āˆš(š‘Ž āˆ’ š‘„)/(āˆš(š‘Ž āˆ’ š‘„) + āˆšš‘„) š‘‘š‘„怗 Adding (1) and (2) i.e (1) + (2) I + I = āˆ«_0^š‘Žā–’怖āˆšš‘„/(āˆšš‘„ +āˆš(š‘Ž āˆ’ š‘„)) š‘‘š‘„怗+āˆ«_0^š‘Žā–’怖āˆš(š‘Ž āˆ’ š‘„)/(āˆš(š‘Žāˆ’ š‘„) + āˆš( š‘„)) š‘‘š‘„怗 2I = āˆ«_0^š‘Žā–’怖(āˆšš‘„ + āˆš(š‘Ž āˆ’ š‘„))/(āˆšš‘„ + āˆš(š‘Ž āˆ’ š‘„)) š‘‘š‘„怗 2I =āˆ«_0^š‘Žā–’怖1.š‘‘š‘„怗 2I = [š‘„]_0^š‘Ž 2I = [š‘Žāˆ’0] šˆ =š’‚/šŸ

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