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Maths
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How do you know when to integrate by parts?

This is usually a good idea if you have an integral with two functions multiplied together when one of the functions differentiates to a constant (could take more than one differentiation).For example to ...

DH
Answered by Dominic H. Maths tutor
3081 Views

Where does the circle (x-6)^2+(y-7)^2=4 intersect with y=x+3

Where does the circle (x-6)2+(y-7)2=4 intersect with y=x+3We need to sub y=x+3 into the circle equation giving us an equation in just x:(x-6)2+(x-4)2=4Next we e...

NL
Answered by Nicola L. Maths tutor
3241 Views

5y = 45

5y = 45y = 45/5y = 9

GB
Answered by Georgie B. Maths tutor
5086 Views

dh/dt = (6-h)/20. When t=0, h=1. Show that t=20ln(5/(6-h))

Part 1: This question requires us to first do some rearranging. The right hand side of the equation is in terms of h, and we are looking to find t in terms of h, so it won't be appropriate to simply integ...

LA
Answered by Linetta A. Maths tutor
4363 Views

How do you integrate (sinx)^3 dx?

Firstly, we must use the special property of trig functions which means that (sinx)n is the same as sinnx. Likewise, (cosx)n=cosnx, (tanx)n=tann...

SS
Answered by Shanti S. Maths tutor
7886 Views

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