find the following integral: what i was thinking was: then i get: is this right?
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Originally Posted by qzno find the following integral: what i was thinking was: then i get: is this right? Yep - keep going!
does that equal: ????
Originally Posted by qzno does that equal: ???? No! Note - the limits change.
why is it from 0 to pi/3 now?
Originally Posted by qzno why is it from 0 to pi/3 now? You original limits were where x was equal to 3 and 0, you are now however working with u. Using your subsitution , rearrange to get: From this, sub in your two values of x, you then get the new values that danny mentioned.
Originally Posted by qzno why is it from 0 to pi/3 now? The original problem was . Introducing the substitution meanins that when you switch the problem in terms of u, the limits of integration will change. So, how do you find new limits - use the substitution. In your case
ah i understand! : ) thanks! ill be posting my answer shortly hopefully
i got my final answer to be:
Originally Posted by qzno i got my final answer to be:
Originally Posted by qzno find the following integral: what i was thinking was: then i get: is this right? alternatively you can put then and so your integral becomes: and you know how to finish this!
Hello, Another method, not necessarily more beautiful... Let And it follows that Hence the integral is now : Okay...
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