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3cos^2(theta) - 3sin^2(theta) - 5cos(theta) + 2 = 0

3cos^2(theta) + 3cos^2(theta) - 3 - 5cos(theta) + 2 = 0

6cos^2(theta) - 5cos(theta) - 1 = 0

delta = 25 + 24 = 49

cos(theta) ...

(First draw graph of sin(x) and mark 0 and pi and 2 pi) In short, you will need to split up your integral into two parts. One from 0 to pi and one from pi to 2 pi? Can you see/guess why this might be? Fir...

In order to find the stationary points of any funcion, you must differentiate. Once you have differentiated, the deriviate of this function must be set equal to 0, in order to determine what the stationar...

y=sin(x²) + e^x Firstly we need to differentiate. dy/dx = 2xcos(x²) + e^x using the chain rule Notice the gradient at x = sqrt(pi) is found when we sub x into dy/...

This question requires integration by parts, using the formula:

Integral(u dv) =  u v - integral(v du) 

This is applied to find the integral of Ln(x) by writing Ln(x) as 1 * Ln(x), u is then...