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1/4xe^4x-1/16e^4x +c
This is a good example of a question where intuition about geometry is important. Completing the square is a standard A level practice to find the equation of a circle. Doing this we get(x+3)JMAnswered by Jack M. • Maths tutor6666 Views
The answer to this lies in the geometry of a circle. At GCSE you were taught that a circle has a radius (which I will call R) which is the distance from the centre to a point on the circle. We pu...
d(x2+2x-1)/dx = 2x+2when dy/dx = 0, x = -1when x = -1, y = -2therefore the turning point is (-1,-2)
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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