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Maths
A Level

differentiate with respect to 'x' : ln(x^2 + 3x + 5)

(2x + 3) / (x2 + 3x + 5)

AS
Answered by Alec S. • Maths tutor
5308 Views

Differentiate with respect to x: y=(6x^2-1)/2sqrt(x)

1st Step: Must separate the fractions and simplify:

y= (6x2-1)/2sqrt(x)= 6x2/(2x1/2) - 1/(2x1/2) 

Cancel 6 with 2 and x

ES
Answered by Elena S. • Maths tutor
9306 Views

i) It is given that f(x)=(-5-33x)/((1+x)(1+5x)), express f(x) in the form A/(1+x) + B/(1+5x) where A,B are integers. ii) hence express the integral of f(x) between x=3 and x=0 in the form (p/q)ln4 where p,q are integers.

i) -7/(1+x) + 2/(1+5x) ii) (-31/5)ln4

DT
Answered by Damon T. • Maths tutor
4329 Views

find the integral of ((3x-2)/(6x^2-8x+3)) with respect to x between x=2 and x=1. (hint use substitution u=denominator)

(ln11)/4

DT
Answered by Damon T. • Maths tutor
4434 Views

1. (a) Express 7cosx - 24sin x in the form R cos (x + a), (b) hence what is the minimum value of this equation

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