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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

4938 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

4754 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

18290 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

4941 Views

How can I prepare for my Maths GCSE exams?

Start by making a note of each topic that may come up in your exam. You can find these in your textbook or revision guide. Let me know if you need help finding the list of topics that your exam board uses...

Answered by Tutor21444 D. • Maths tutor

4945 Views