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Use the substitution u=1+e^x to find the Integral of e^(3x) / (1 + e^x)

e x =u-1 so e 3x =(u-1) 3 and du/dx = e x so rearranging gives dx=e -x du Substituting all that information in the integral we get Integral ( (u-1) 3 / (u(u-1)) du ) which simplifies to Integral (u -2 +1/u)....
IP
Answered by Ismet P. • Maths tutor
12301 Views

Explain price elasticity of demand and how firms can exploit this.

Price elasticity of demand (PED) is defined as % change in quantity demanded / % change in price. This is also the slope of the demand curve. If PED is less than 1, we say that the demand for the good is ine...
TD
3394 Views

How do I write a strong introduction?

The introduction is often seen as an annoying hurdle, but it is crucial in giving the marker a strong first impression. Writing an unclear intro that considers a few possible arguments or approaches but does...
JG
3957 Views

There are 25 CD's in a box and an individual orders 14 boxes. How many CD's did the person order in total

as there are 25 CD's in one box, then we would multiply by 14 to know the total number of CD's, we use multiplication as it is quicker than adding 25 14 times. I would then show the column multiplication met...
AB
Answered by Aisha B. • Maths tutor
3085 Views

How do I write a good introduction to an essay?

A good introduction is clear, concise, and shows the examiner that you have a firm grasp on the relevants concepts and material. I always start my introductions by setting out in a single sentence the main t...
JH
Answered by James H. • History tutor
1900 Views