WEBVTT
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let's start by taking the U substitution. So looking
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inside the co sign, we see a one over
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X. So let's just try that, then using
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the powerful for derivatives. So here it looks like
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we can rewrite this using you. So it's plot
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of minus sign here because of this one from the
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use of So by writing negative, do you?
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We're getting one over X squared and e x so
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that gives us this and X squared on the bottom
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. So on top. So here, let's write
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. This is CO sign you. This is giving
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me this over here and by writing negative you deal
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. That's giving me everything else. The negative do
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you is giving you two of the ex is on
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the bottom and then multiplying by this extra you is
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just giving us another one over x. So that
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gives us the one over X cute. So this
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is our general. So we have negative inaugural of
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you times co sign you So for this new in
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a girl here. So it's got a little messy
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of here. Let me come and rewrite this.
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That's right. This is you co sign you.
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Do you now let's set ups the integration by parts
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for this one. So let me not use the
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letter you since we were to use that up here
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and it's in our general. What's his w equals
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you? T w deal TV is co sign So
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we assign you so using integration my parts. So
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remember the formula. There's UV minus integral ggo.
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In our case, let me go ahead and replace
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that with a w there. Since that's what was
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that we're using So negative. Then we have you
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time sign you minus in a girl sign you That's
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B and then d w which is do you?
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So now we can go ahead and distribute the minus
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sign. So that's a negative. You signed you
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plus integral of sign. So that's negative. You
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sign you minus co sign you. And now the
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frigate at your constancy. Now we've evaluated the intern
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group with the last step here will be to come
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up to this u substitution so that you can replace
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you in terms of X. So this last step
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here is just to do that, replace you.
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So you is one over X sign one over X
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and then we have minus co sign one of Rex
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and then plus C and that's your final answer