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Applying the property of exponents, $\displaystyle a^{-n}=\frac{1}{a^n}$, where $n$ is a number
Learn how to solve integrals with radicals problems step by step online.
$\int\frac{1}{\sqrt{5-x^2}}dx$
Learn how to solve integrals with radicals problems step by step online. Integrate int((5-x^2)^(-1/2))dx. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Solve the integral applying the substitution u^2=\frac{x^2}{5}. Then, take the square root of both sides, simplifying we have. Now, in order to rewrite dx in terms of du, we need to find the derivative of u. We need to calculate du, we can do that by deriving the equation above. Isolate dx in the previous equation.