Integrate the function $s\left(1-x\right)^{-\frac{1}{2}}$ from 0 to $2$

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$s\int_{0}^{2}\left(1-x\right)^{-\frac{1}{2}}dx$

Learn how to solve definite integrals problems step by step online. Integrate the function s(1-x)^(-1/2) from 0 to 2. The integral of a constant times a function is equal to the constant multiplied by the integral of the function. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Since the integral \int_{0}^{2}\frac{1}{\sqrt{1-x}}dx has a discontinuity inside the interval, we have to split it in two integrals. Solve the product s\left(\int_{0}^{1}\frac{1}{\sqrt{1-x}}dx+\int_{1}^{2}\frac{1}{\sqrt{1-x}}dx\right).