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The integral of sine is pretty easy to remember as it is -cos + C. However you need to be able to prove this, without using the integral of cosine. This method uses sines exponential form.

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cos x = 0, sin x = 1, solved using trigonometric identities. 3(pi) means 3/2 times round a the circle, therefore using graphs answer is pi/2, 3(pi/2), 5(pi/2)

To factorise z³+1 into a linear and quadratic factor, it is best to try the factor theorem first. We set the equation to zero: z³+1=0.We need to find a value of z such that the above...

As with much of complex number the trick here is to change forms to polar representation.If you think of an argand diagram the number i will be represented as a point straight up on the imaginary...

There is no need to solve the quadratic equation here. Use the formulae for the sum and product of roots where:

a+b = -b/a

and

ab = c/a

Therefore...