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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
10844 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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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...
MM
Answered by Michelle M. • Biology tutor
30315 Views

How do I plan an answer to a close reading question in my exam?

Planning in an exam is really important. It will help you settle into the exam, cover the assessment objectives and write a clear and interesting answer to the question. Everyone approaches planning differen...
RP
Answered by Ruth P. • English tutor
2307 Views

Let f(x)=x^3 - 2x^2 + 5. For which value(s) of x does f(x)=5?

Although it can be tempting to dive straight into such a question, its always useful in mathematics to take a step back and assess the question before scribbling down panicked answers. For instance, in this ...
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Answered by Jed G. • Maths tutor
4332 Views