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Using partial fractions, find f(x) if f'(x)=5/(2x-1)(x-3)

First step: partial fractions 5/(2x-1)(x-3) 5=A(x-3)+B(2x-1) A=0 when x=3, so B=5/(2x3-1)=1 B=0 when x=1/2, so A=5/(0.5-3)=-2 So f'(x)=1/(x-3)-2/(2x-1) Second step: Integration f(x)= (integral)(1/(x-3))dx...

Answered by Jasmin F. • Maths tutor

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'Henry VII primarily used propaganda to consolidate his power in the early years of his reign.' Assess the validity of this view.

Yes:

Use of symbolism - Tudor rose, portcullis

Exploitation of marriage and birth of heir - use of Tudor rose and links to King Arthur

Welsh lineage - red dragon of Cadwallader

Answered by Rebecca Y. • History tutor

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How to structure introduction for essay questions

K- Key terms: what are the key terms in the question, explain what these are and define these to show the examiner you have grasped the question and you know what it is about.

E- evaluate: introduc...

Answered by Alex S. • History tutor

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What is an ohmic resistor? How to check if a resistor is ohmic?

An ohmic resistor is a resistor that obeys Ohm's law V = IR (voltage = current x resistance). Therefore, if the voltage in such element is increased by n number of times, by the same number n has to incre...

Answered by Jonas V. • Physics tutor

38364 Views

How do I know which substitution to use if I am integrating by substitution?

It is not just trial and error, as this will eat away time in the exam. if you can't see it straight away then you need to consider some things. for example a common question might be find the integral of...

Answered by Thomas G. • Further Mathematics tutor

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