Question

evaluate the integral::,{2/(✓1-x) d(x)
$2 \div \sqrt(1 - x)d(x)$
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Answer 1

Answer:

The answer is $-4\sqrt{1-x}+c$

Step-by-step explanation:

 $\displaystyle \int\frac{2}{\sqrt{1-x}}dx$

• Substitute $\sqrt{1-x}=t\Rightarrow 1-x=t^2\Rightarrow -dx=2tdt\Rightarrow dx=-2tdt$

$=\displaystyle \int \frac{2}{\sqrt{t^2}}\times (-2tdt)=\int (-4dt)\\=-4\int dt=-4t+c=-4\sqrt{1-x}+c$