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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 = -2
therefore 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

4log2 (3) + 2log2(5)= log2 (3)^4 + log2 (5)^2= log2 (3^4x5^2)=log2(81x25)=log2(2025)
The solution will be explained with the formula for- loga(x) +loga(y)=loga(xy)





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