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Evaluate the integral (write on whiteboard, too complicated to write here)

Make sure integral is in terms of sines and cosines onlyFactor out sine of numerator and make fraction in terms of cosineSubstitution y=cos(x)Fractions decompositionAnother 2 substitutionsSolve

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I struggle with modelling with differential equation, is there an easier way of interpreting this type of wordy question?

f(x) = (x-5)/(x^2+5x+4), express this in partial fractions and hence find the integral of f(x) dx between x=0 and x=2, giving the answer as a single simplified logarithm.

Evaluate the integral (write on whiteboard, too complicated to write here)

Related Maths A Level answers

I struggle with modelling with differential equation, is there an easier way of interpreting this type of wordy question?

f(x) = (x-5)/(x^2+5x+4), express this in partial fractions and hence find the integral of f(x) dx between x=0 and x=2, giving the answer as a single simplified logarithm.

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