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How would you prove the 'integration by parts' rule?

This involves thinking about a well-known formula (the product rule) in a slightly different way. Looking at the product rule, for two functions u and v, (uv)' = uv' + vu'. We can rewrite this as uv' = (uv)'...
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Answered by Ethan R. STEP tutor
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Find the indefinite integral of cos^2 x

First, we need to write cos 2 x in a form that is easily integrable. We can use the double angle formula cos(2x) = 2cos 2 x - 1 to see that cos 2 x = 1/2cos(2x)+1/2. Now, we can integrate the terms seperatel...
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Answered by Ethan R. Maths tutor
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How would a reflex action take place?

First of all, the stimulus (a change in environment) will cause the receptor in the skin to fire an action potential down the sensory neurone. The sensory neurone then reaches the relay neurone in the CNS (w...
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Answered by Sumandeep K. Biology tutor
4820 Views

How do I solve simultaneous equations by substitution?

Often, substitution is used when dealing with quadratic simultaneous equations as the other method, elimination, is more straightforward and can be used to solve linear equations but it cannot be used for qu...
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Answered by Niamh M. Maths tutor
6358 Views

What is the difference between mitosis and meiosis?

Both are processes of cell division in which one cell splits. In mitosis two genetically identical daughter cells are produced. In mitosis the 46 chromosomes within a cell (human) are duplicated, then one co...
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Answered by Milan K. Biology tutor
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