00:01
Let's talk about problem 21.
00:02
This one says that we have to integrate e -d -to -the -teta, sine theta, and d -t -t -t -t.
00:09
Let's name this integral i.
00:12
So we have to first decide which one is first and which one is second.
00:15
So as per i -l -a -t -e rule, the exponential comes last and trigonometric comes earlier than it.
00:24
So this will be the first term and this is the second term.
00:27
So the integral will be the first term remains as it is.
00:30
We integrate the second term.
00:31
Which is e -d -res to the power theta minus integral of differentiation of sine will be cause integral of e -drae -d -a -to -the -ta will be e -raise to the power theta and once again we have to integrate this once again this is the first term this is the second term so this i becomes sine theta e -raise to the power theta minus now the first term remains as it is we integrate the second term which is same minus integral of differentiation of causes minus sign integrate of e -d -res -to -power theta is e -d -d -to -power theta and once again we have to integrate this.
01:08
Okay, let's try to open up the bracket.
01:10
So we get e -d -d -a -d -a -treater minus e -raise to the power theta, pos -theta, and minus -minus, minus, 1 -2 -1 -3 -3 -1.
01:22
So we will have minus here...