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How would you integrate ln(x)

It can seem tricky to integrate ln(x), as there is no obvious solution to do it.It is, however, quite simple to do if you use the 'by parts' method.If you have y=ln(x)Set u=ln(x) and dv/dx=1That gives du/dx=...
AC
Answered by Adam C. • Maths tutor
3580 Views

y=e^2x-11e^x+24 Find the stationary point, nature of the stationary point, the x-intercepts and the y-intercept (calculator allowed)

Stationary point: dy/dx = 2e^2x - 11e^x =0 2e^2x = 11e^x e^x=5.5 (can divide by e^x since e^x > 0 for all x) x=ln(5.5), y=5.5^2-11 5.5+24=-6.25 Answer: (ln(5.5),-6.25) Nature of stationary point : Evaluat...
AJ
Answered by Asmita J. • Maths tutor
3605 Views

Describe the process of transcription for a gene

DNA Helicase unwinds double helix by breaking hydrogen bonds where the gene is located.The single stranded part of the helix will act as template strand for RNA.Free floating nucleotides will attach to compl...
ES
Answered by Emir S. • Biology tutor
3375 Views

How do I manage to write 4 essay/ long answer type responses within 90 minutes in Paper 1?

5 minutes reading time is essential when it comes to IB Economics, whether SL or HL. In those 5 minutes, you may not write anything, but you should start by picking out the key terms from each question and d...
MS
Answered by Meghna S. • Economics tutor
2054 Views

In Topic 5 (Statistics and Probability) what is the difference between mutually exclusive events and independent events?

Put simply, mutually exclusive events cannot occur at the same time, e.g when tossing a coin, the result can either be heads or tails but cannot be both. Independence of events means the occurrence of one ev...
MS
Answered by Meghna S. • Maths tutor
2634 Views