© examsiri.com
Question : 77 of 160
Marks:
+1,
-0
Solution:
The formula for the integration,
Im=e−xsinmxdx, where
m>2 then
Im=‌Im−2 Now I6=e−x‌sin‌6‌x‌d‌x I6=‌I4 I6=‌I4 Similarly,
I4=e−x‌sin‌4‌x‌d‌x I4=‌I2 I4=‌I2 Similarly
I6=e−x‌sin‌6‌x‌d‌x I2=‌I0 I2=‌I0 And
I0=e−xsin0xdx I0=[−e−x]0∞=1 The value of
I6 is,
I6=‌×‌×‌×1=‌
© examsiri.com
Go to Question: