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Integral of (2(x^3)-7)/((x^4)-14x)

Set f(x)= (x^4)-14x. f’(x)=4(x^3)-14=2(2(x^3)-7). Thus we can write (2(x^3)-7)/((x^4)-14x)=(1/2)f’(x)/f(x). The integral of f’(x)/f(x)=ln|f(x)|+c. Thus the integral of (2(x^3)-7)/((x^4)-14x) is (1/2)(ln|f...

IK
Answered by Issy K. Maths tutor
3412 Views

Compare how Milton and Ford present sining in relation to Milton’s Paradise Lost Book IX and Ford’s ‘Tis Pity She’s A Whore.

Plan for essay

John Milton’s Paradise Lost Book IX and John Ford’s ‘Tis Pity She’s A Whore explore the causes and consequences of...

AC
4274 Views

How would a policy of monetary expansion effect the domestic economy in the short term?

To answer this question we firstly need to remind ourselves of the core components of Aggregate Demand (AD):

AD = C + I + G + (X-M)

AD is made up of Consumption, Inv...

CC
Answered by Caspian C. Economics tutor
2118 Views

The effective use of quotations

Quoting effectively is important because the right quotation presented properly can add spice, interest, thought, effectiveness, support, and respect to your writing.

SR
3653 Views

A curve has parametric equations: x = 3t +8, y = t^3 - 5t^2 + 7t. Find the co-ordinates of the stationary points.

First differentiate: dx/dt = 3,   dy/dt = 3t2 - 10t + 7

Using the chain rule: dy/dx = dy/dt * dt/dx = (3t2 - 10t + 7)/3 

At stationary points, the...

RB
Answered by Robbie B. Maths tutor
5796 Views

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