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By consdering partial fractions find the integral of (1-x)/(5x-6-x^2) between x = 1 and x = 0, give your answer in an exact form.

The answer is Ln8/9, by first converting (1-x)/(5x-6-x^2) into partial fractions you get 1/(2-x) + 2/(x-3), the next step is a simple integration by inspection followed by log manipulations to get the fin...

OA
Answered by Omar A. Maths tutor
3131 Views

Re-arrange (3x+y)/2 = x+z making x the subject.

To make x the subject we want to try to get all the x's on one side of the equals sign! Firstly to get rid of the fraction we multiply both sides by 2, giving 3x+y= 2(x+z). We then expand the brackets on ...

LM
Answered by Lara M. Maths tutor
3319 Views

Integrate with respect to x ) dy/dx= 6x^5

The integral of any equation let the example be dy/dx = ax^n The integral of (RHS) dy/dx (because when we integrate we are integrating both sides) is y The integral of (LHS) ax^n is  [ax^(n+1)]/[n+1] when...

NM
Answered by Nojus M. Maths tutor
4650 Views

Define a surd and find the length of one side of a 50cm^2 square shape in surd form

i. A surd is an irrational number i.e. a non-whole number that can be represented as a square root, cube root etc.

ii. If the area of the square shape is 50cm^2, then we know that the length multip...

AB
Answered by Andrew B. Maths tutor
4314 Views

I don’t think I’m smart enough for this course, should I drop it?

Maths A level is one of the hardest a levels there is, so it’s only natural that you’re going to be finding it tough. The jump from GCSE to A level is real, and if you haven’t done a further maths qualifi...

HS
Answered by Hope S. Maths tutor
5444 Views

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