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Debussy's 'The Little Shepherd' is a short piano miniature which juxtaposes moments of graceful, soloistic monophony with harmonically colourful passages of melody-dominated homophony. The key of this music ...

You need to use a clever trick for this! Write ln(x) as 1 ln(x), and use integration by parts:u=ln(x) v'=1u'=1/x v=xThen applying the formula we obtain∫ln(x)dx = x ln(x) - ∫[(1/x) x] dx = = x ln(x) - ∫1 dx =...

Radical-changing verbs, or stem-changing verbs, are common in Spanish. Whilst they are not regular verbs, they do follow a pattern, making them easier to learn than verbs that are fully irregular. It is impo...

You don't need to be scared of bigger questions worth more marks . You approach them the same way as any other question, you just need to write a little bit more. You must always give two sides in your answe...

A) y=ln(x) E y = x E y (dy/dx ) = 1 E ln(x) (dy/dx) = 1 X(dy/dx) = 1 Dy/dx = 1/xb) y = 1 * ln(x) V = ln(x) U= x dv/dx =1/x Du/dx = 1xln(x) - (integral) x * (1/x)xln(x) - (integral) 1= xln(x) -x + C