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integrate (4cos^4 x -4cos^2x+1)^1/2

we must integrate (4cos⁴x-4cos²x+1)^1/2factorise first ((2cos²x-1)²)^1/2this becomes (2cos²x-1)which equals cos 2xthe integral of cos 2x is1/2 sin 2x + C

Answered by Dominic W. • Maths tutor

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integrate (4cos^4 x -4cos^2x+1)^1/2

Related Maths A Level answers

How do I use product rule when differentiating?

Find the equation of the tangent to the curve y=x^3-4x^2+2 at the point (3,-7)

How do I intregrate ln(x)?

Why is the definite integral between negative limits of a function with positive values negative even though the area bound by the x-axis is positive? for example the integral of y=x^2 between x=-2 and x=-1

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