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Use the substitution u=x^2-2 to find the integral of (6x^3+4x)/sqrt( x^2-2)

First use the substitution to find du/dx which is 2x. From this we now know that dx= du/2x (just re-arranging.) Substituting that into the integral we now get (6x 3 +4x)/ (sqrt (u) x 2x) du. Cancelling out t...
KS
Answered by Khalil S. • Maths tutor
10716 Views

Explain opportunity cost

Opportunity cost is the cost of sacrificing the next best alternative to the activity under consideration. In order to explain this I will use a literal example. You are going to watch a football match. Ther...
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Answered by Edward H. • Economics tutor
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In a circuit with a 12V battery, 20Ω resistor and 10Ω resistor, all in series, calculate the current that would flow?

This question can be split into two parts, the first is calculating overall resistance: in series the R total = R 1 + R 2 so here R total = 10Ω + 20Ω = 30Ω The second is to choose the relevant equation, pote...
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Answered by Lauren A. • Biology tutor
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How should you structure your personal statement?

A personal statement is your way of expressing to the Universities of your choice your passion for your chosen degree, as well as explain how your experiences and knowledge are connected to it.Just like any ...
MM
2667 Views

Identify the differences between motor and sensory neurons in terms of features and function.

Motor neurons have a cell body, short dendrites and a long axon. Their function is to conduct impulses to an effector (muscle or gland).Sensory neurons, on the other hand, have a cell body, long dendrites an...
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Answered by Michelle M. • Biology tutor
30013 Views