Indefinite Integral – Quadratic polynomial in a root – Exercise 2021

Exercise

Evaluate the integral

1x2dx\int \sqrt{1-x^2} dx

Final Answer


1x2dx=12(x1x2+arcsinx)+c\int \sqrt{1-x^2} dx =\frac{1}{2}(x\sqrt{1-x^2}+\arcsin x)+c

Solution

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