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(using double angle formula)Sin^2(x)=1/2-(Cos(2x)/2)
So the Integral is 1/2(x-1/2Sin(2x))which simplifies to x/2 - 1/2Sin(x)Cos(x)

Consider a right angled triangle, it has perimeter of 72cm. Let's label the three sides a, b and c.Therefore, a + b + c = 72cm.Also, we know that a:b:c = 3:4:5Therefore we can say that a = 3x, b = 4x, c =...

Firstly, we need to express 6cos(2x) + sin(x) in terms of sin(x) 6cos(2x) + sin(x) = 6cos(x+x) + sin(x) = 6cos²(x) - 6sin²(x) + sin(x) (applying cos(x+y) = cos(x)cos(y) - sin(x)sin(y...

x² +2xy–3y²+16=0Differentiate the terms:x² gives 2x2xy is differentiated by the product rule: vu' +v'u Make v = 2x and u = y, which gives 2x(dy/dx) + 2y3y² give...

x=4, y=-2