© examsiri.com
Question : 79 of 160
Marks:
+1,
-0
Solution:
‌dx=‌dx+f(x)dx ⇒‌dx+‌dx ‌‌=‌dx+f(x)dx ⇒‌dx+‌dx ‌‌=‌dx=f(x)dx ⇒‌‌‌dx=f(x)dx ‌ Let ‌I=f(x)dx=‌dx ‌ Put ‌x=−y ⇒dx=−dy ‌ For ‌x=−1,y=1,x=0,y=0 ∴‌‌I=‌(−dy) ‌‌‌=‌dy By change of variable property,
I‌‌=‌dx ‌ or ‌f(x)dx‌‌=‌dx f(x)‌‌=‌
© examsiri.com
Go to Question: