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Evaluate the integral, given that$\int_{0}^{\infty} e^{-x^{2}} d x=\frac{1}{2} \sqrt{\pi}$$\int_{0}^{\infty} e^{-x^{2} / 2} d x$

$\sqrt{\frac{\pi}{2}}$

Calculus 1 / AB

Calculus 2 / BC

Chapter 5

Integrals

Section 8

Improper Integrals

Integration Techniques

Baylor University

University of Michigan - Ann Arbor

Boston College

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in this video, we're gonna go through the uncertain question number 33 compared to 5.8. So we asked to evaluate the integral between zero infinity off eat minus X squared over to the ex. So for 32 makes institution well that why equal Thio X over to which makes the X equal to three to Dubai. Tha's integral, therefore is equal to you. Well, he's the minus X squared over two companies of minus y squared The ex becomes moved to Why the limits? So an ex sequences every wise also a good director on infinity. What effect sequence? Infinity limits express infinity. Then why also goes to Infinity s? This is equal to its groups to most part by the integral That's given in the question which we know is half times group I grew to over two times one over route to so right. This is a group of 1/2 Hi

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The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

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