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(a) Express 9x+11/(2x+3)(x-1) as partial fractions and (b) find the integral of 9x+11/(2x+3)(x-1) with respect to x

(a) 9x+11/(2x+3)(x-1) = A/2x+3 + B/x-1
9x+11 = (x-1)A + (2x+3)B
Setting x=1 gives B=4, setting x=-3/2 gives A=1
so the final answer is 1/(2x+3) + 4/(x-1)

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Answered by Amelia T. • Maths tutor

5312 Views

Find the derivative and following function and hence find the value of coordinates for when the function is at a stationary point:

y = e^xx² + e^x : The derivative can be found using the chain rule. (A reminder of the chain rule: if y is a product of two funct...

Answered by Michael C. • Maths tutor

3630 Views

Why does exp(x+y) NOT equal exp(x)+exp(y)? [A-level Maths and Further Maths common mistake]
This is a very common mistake, so don't worry. To see why this is the case, let's go back through our notes to the "laws of indices" and recall the rule for adding powers; a^m
TD
Answered by Tutor56252 D. • Maths tutor
9252 Views
Solve the following equation by completing the square: x^2 + 6x + 3 = 0.
Completing the square is a method of solving quadratic equations that cannot be easily factorised, without having to use the quadratic formula. The first step is to look at the coefficient of the second t...
EC
Answered by Emma C. • Maths tutor
25226 Views
How do I remember the coefficients of a Taylor expansion?
If it's not sticking in your head; don't. I find it's easier to just remember what the point of a Taylor expansion is: to express a function as an infinite polynomial, often because polynomials are ea...
SR
Answered by Steven R. • Maths tutor
4775 Views
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(a) Express 9x+11/(2x+3)(x-1) as partial fractions and (b) find the integral of 9x+11/(2x+3)(x-1) with respect to x

Find the derivative and following function and hence find the value of coordinates for when the function is at a stationary point:

Why does exp(x+y) NOT equal exp(x)+exp(y)? [A-level Maths and Further Maths common mistake]

Solve the following equation by completing the square: x^2 + 6x + 3 = 0.

How do I remember the coefficients of a Taylor expansion?

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