Chapter 7 Class 12 Integrals
Concept wise

Ex 7.10, 19 - Chapter 7 Class 12 Integrals

Last updated at December 16, 2024 by

Ex 7.10, 19 - Show f(x) g(x) dx = 2 f(x), f(x) = f(a-x) - Ex 7.10 - Ex 7.10

part 2 - Ex 7.10, 19 - Ex 7.10 - Serial order wise - Chapter 7 Class 12 Integrals

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Ex 7.10, 19 Show that āˆ«_0^š‘Žā–’š‘“(š‘„) š‘” (š‘„) š‘‘š‘„=2āˆ«_0^š‘Žā–’š‘“(š‘„) š‘‘š‘„, if f and g are defined as š‘“(š‘„)=š‘“(š‘Žāˆ’š‘„) and š‘”(š‘„)+š‘”(š‘Žāˆ’š‘„)=4 Let I =āˆ«_0^š‘Žā–’š‘“(š‘„) š‘”(š‘„) š‘‘š‘„ I =āˆ«_0^š‘Žā–’š‘“(š‘„) [4āˆ’š‘”(š‘Žāˆ’š‘„)] š‘‘š‘„ I = āˆ«_0^š‘Žā–’[4.š‘“(š‘„)āˆ’š‘“(š‘„)š‘”(š‘Žāˆ’š‘„)] š‘‘š‘„ I = 4āˆ«_0^š‘Žā–’怖š‘“(š‘„)š‘‘š‘„āˆ’āˆ«_0^š‘Žā–’怖š‘“(š‘„) š‘”(š‘Žāˆ’š‘„) 怗怗 š‘‘š‘„ I = 4āˆ«_0^š‘Žā–’怖š‘“(š‘„)š‘‘š‘„āˆ’āˆ«_0^š‘Žā–’怖š‘“(š‘Žāˆ’š‘„) š‘”(š‘Žāˆ’(š‘Žāˆ’š‘„)) 怗怗 š‘‘š‘„ I = 4āˆ«_0^š‘Žā–’怖š‘“(š‘„)š‘‘š‘„āˆ’āˆ«_0^š‘Žā–’怖š‘“(š‘„) š‘”(š‘„) 怗怗 š‘‘š‘„ I =4āˆ«_0^š‘Žā–’怖š‘“(š‘„)š‘‘š‘„āˆ’I怗 I +I=4āˆ«_0^š‘Žā–’š‘“(š‘„)š‘‘š‘„ 2I=4āˆ«_0^š‘Žā–’š‘“(š‘„)š‘‘š‘„ I=2āˆ«_0^š‘Žā–’š‘“(š‘„)š‘‘š‘„ āˆ“ āˆ«_0^š‘Žā–’怖š‘“(š‘„) š‘”(š‘„) 怗 š‘‘š‘„=2āˆ«_0^š‘Žā–’š‘“(š‘„)š‘‘š‘„ Hence Proved

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