Integration

Integration by Substitution, by Parts and Using Partial FractionsSign up

be able to integrate by substitution, including using a given substitution and choosing an appropriate one · be able to integrate by parts using the formula ∫ u dv = uv - ∫ v du, including repeated application · be able to integrate rational functions by first decomposing into partial fractions

Integration Using Trigonometric IdentitiesSign up

use trigonometrical relationships in carrying out integration · use the double-angle formulae to integrate sin^2 x and cos^2(2x), e.g. rewrite sin^2 x = (1-cos 2x)/2 then integrate term by term · use further trig identities (product-to-sum, sec^2 x = 1 + tan^2 x) to convert an integrand into a directly integrable form