Indefinite Integral – Quadratic polynomial in a root – Exercise 2033

Exercise

Evaluate the integral

\int \sqrt{9-25x^2} dx

Final Answer


\int \sqrt{9-25x^2} dx =\frac{1}{2} x\cdot\sqrt{9-25 x^2}+\frac{9}{10}\arcsin (\frac{5}{3} x)+c

Solution

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