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When we are presented with a quadratic equation in this form, and asked to expand, it is important to make sure that every term is used. For example, we would begin with the 'x' from the (x+1) bracket, and t...

Use integration by parts, by setting u=x and cos(x)=dv/dx. The final result should be xsinx + cosx + c.

we must integrate (4cos 4 x-4cos 2 x+1) 1/2 factorise first ((2cos 2 x-1) 2 ) 1/2 this becomes (2cos 2 x-1)which equals cos 2xthe integral of cos 2x is1/2 sin 2x + C

To approach a problem like this, we must first break down our number into a multiplication of prime factors (i.e. we can make our number by multiplying numbers 2,3,5,7 etc together). This is best done with a...

Quadratic equations are always given in the form a x 2 + b x + c . One way of solving (finding values of x) and therefore factorising is to use the quadratic formula which is :x = −b ± √(b 2 − 4ac)/ 2a ,usin...