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3(sin x) ^2 cos x

y = 4x³e^-4x   u = 4x³  v = e^-4x du/dx = 12x² dv/dx = -4e^-4x using the product rule; vdu +udv  vdu + udv = 12x²e^-4x -...

In any sequence, the position of a term (1st, 2nd, 3rd etc.) is represented by the letter ‘n’. In linear sequences only, the ‘nth-term rule’ gives the value of any term in that sequence at position ‘n’. I...

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The first thing that we are going to do to tackle this problem is to expand the bracket on the left-hand side (3(m+4)). To do this you have to multiply each of the terms inside the bracket with the 3 that...