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Take the square root of 2i

As with much of complex number the trick here is to change forms to polar representation.If you think of an argand diagram the number i will be represented as a point straight up on the imaginary...

Answered by Simon T. • Maths tutor

7701 Views

How do I solve simultaneous equations?

Simeltanous equations are a pair of equations that have 2 unknows. In order to solve a simelatneous equation 1 of the unknows must be eliminated. This can be done by either:

1. Substitut...

Answered by Rory B. • Maths tutor

5177 Views

Integrate the following function by parts and reduce it to it's simplest form. f(x) = ln(x).

First note that ln(x) = 1ln(x), this is in the form udv/dx.

Let dv/dx = 1 and u = ln(x).

du/dx = 1/x from the standard results and v = x by integration.

Answered by Ryan B. • Maths tutor

4900 Views

Integrate sinx*ln(cosx) with respect to x.

1. ʃ sinx*ln(cosx) dx

First notice the composition ln(cosx). To make the expression easier to integrate we try substitution (substitution is often useful when trying to integrate expressi...

Answered by Darshan S. • Maths tutor

18846 Views

How can we remember the difference between differentiation and integration?

Integration is the inverse of differentiation. I.e. for differentiation of linear expressions we multiply the coeifficient with the power of the unknown and then subract 1 from the power. Integration i...

Answered by Madeha N. • Maths tutor

5141 Views