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# integration by parts

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1. can someone do a step by step guide for me on this question.

The total profit made by the company between the 10th and the 60th day is given by P = 100âˆ« t ln t dt

Use integration by parts to find the total profit in these 50 days. It is between the limits 1 and 6 but I didn't know how to add them when typing the question.
2. .
If you want it cleaned up a bit you get .
3. (Original post by chanda01)
Attachment 517267I've not double-checked it and i've done this after such a long time >.< Please double check the maths but I hope it makes some sense
You get the right answer. Could you please explain why the 1/2 comes out and why it just leaves t before you integrate the second part.
Thanks
4. (Original post by dont)
You get the right answer. Could you please explain why the 1/2 comes out and why it just leaves t before you integrate the second part.
Thanks
You can take out the constant and out it to the left of the integral sign. That is . It's still there in reality but it can make it easier if you just put it to the left.

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