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Chapter 7 Class 12 Integrals
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Misc 40 (MCQ) - Chapter 7 Class 12 Integrals

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Misc 40 (MCQ) - If f (a + b - x) = f(x), then x f(x) dx is - Miscellaneous

part 2 - Misc 40 (MCQ) - Miscellaneous - Serial order wise - Chapter 7 Class 12 Integrals

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Misc 40 Choose the correct answer If š‘“(š‘Ž+š‘āˆ’š‘„)=š‘“(š‘„), then āˆ«_š‘Ž^š‘ā–’怖š‘„ š‘“(š‘„) 怗 š‘‘š‘„ is equal to (A) (š‘Ž+š‘)/2 āˆ«_š‘Ž^š‘ā–’怖 š‘“(š‘āˆ’š‘„) 怗 š‘‘š‘„ (B) (š‘Ž+š‘)/2 āˆ«_š‘Ž^š‘ā–’怖 š‘“(š‘+š‘„) 怗 š‘‘š‘„ (C) (š‘ āˆ’š‘Ž)/2 āˆ«_š‘Ž^š‘ā–’怖 š‘“(š‘„) 怗 š‘‘š‘„ (D) " " (š‘Ž+š‘)/2 āˆ«_š‘Ž^š‘ā–’怖 š‘“(š‘„) 怗 š‘‘š‘„ Let I=āˆ«_š‘Ž^š‘ā–’怖š‘„ š‘“(š‘„) 怗 š‘‘š‘„ āˆ“ I=āˆ«_š‘Ž^š‘ā–’怖(š‘Ž+š‘āˆ’š‘„) š‘“(š‘Ž+š‘āˆ’š‘„) 怗 š‘‘š‘„ I=āˆ«_š‘Ž^š‘ā–’怖(š‘Ž+š‘āˆ’š‘„) š‘“(š‘„) 怗 š‘‘š‘„ I=āˆ«_š‘Ž^š‘ā–’怖(š‘Ž+š‘) š‘“(š‘„) 怗 š‘‘š‘„āˆ’āˆ«_š‘Ž^š‘ā–’怖š‘„ š‘“(š‘„) 怗 š‘‘š‘„ Adding (1) and (2) i.e (1) + (2) I+I=āˆ«_š‘Ž^š‘ā–’怖š‘„ š‘“(š‘„) 怗 š‘‘š‘„+āˆ«_š‘Ž^š‘ā–’怖(š‘Ž+š‘) š‘“(š‘„) 怗 š‘‘š‘„āˆ’āˆ«_š‘Ž^š‘ā–’怖š‘„ š‘“(š‘„) 怗 š‘‘š‘„ 2I=āˆ«_š‘Ž^š‘ā–’怖(š‘Ž+š‘) š‘“(š‘„) 怗 š‘‘š‘„ 2I=(š‘Ž+š‘) āˆ«_š‘Ž^š‘ā–’š‘“(š‘„) š‘‘š‘„ āˆ“ I=(š‘Ž + š‘)/2 āˆ«_š‘Ž^š‘ā–’š‘“(š‘„) š‘‘š‘„ āˆ“ Option D is correct .

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