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∫(cos 2 2x *sin 3 2x)dx u = cos2x - u =(du/dx) = -2sin2x - differentiate u dx = du/(-2sin(2x)) - dx = -1/2 ∫cos 2 2x * sin 2 2x du - sub in dx-1/2 ∫u 2 (1-u 2 )du - put in terms if u -1/2 [ u 3 /3 - u 5 /5 ]...

This equation has no real roots, as when we test the equation with the formula b 2 - 4ac, we get 2 2 -4 1 5 = 4 - 20 = -16. As this is negative we can be assured that this equation has no real roots.

Paul Willis has published a book called 'Learning to Labour', where he discussed the anti-school subculture at schools in 1977. He did an experiment on 12 working class schoolboys from the Midlands to observ...

Yes, according to the standard model of the labour market, an introduction of a minimum wage above the market clearing wage rate will cause an excess of labour in the market. This model assumes conditions of...

The Design Argument for the existence of God suggests that, due to the unexplainable complexity of the world around us, there must have been an intelligent 'designer' who created it. The argument is well exp...