Integrate (1 - x^2)^(-0.5)dx within the limits 0 and 1

The answer is π/2. The key trick to solving this problem is to change variables by using the substitution x = sin(θ). We then need to change the differential and the limits too.

CW

Related Maths A Level answers

All answers ▸

How do you know if a function is odd or even?


Integrate $$\int xe^x \mathop{\mathrm{d}x}$$.


What are the advantages of using numerical integration (Trapezium rule, Simpson's rule and so on) over direct integration?


The point A lies on the curve with equation y=x^0.5. The tangent to this curve at A is parallel to the line 3y-2x=1 . Find an equation of this tangent at A. [5 marks]