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Improper Integrals: Example 3: 1/(1+x^2)

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First published at 04:50 UTC on June 11th, 2019.

#mathematics
#calculus
#science

Math Easy Solutions

MES

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In this video I go over another example on improper integrals and this time solve the integral of the function 1/(1+x^2) from x approaches negative infinity to x approaches positive infinity. This integral can be simplified into two parts by integrating it from negative infinity until a number, chosen as zero in this example for convenience, and then from that number to positive infinity. This integral is very interesting as it converges at both positive and negative infinity resulting in the integral, and thus the area under the curve, to be equal to the number π.

Download the notes in my video: http://1drv.ms/1L6Ld1l

View Video Notes on Steemit: https://steemit.com/mathematics/@mes/improper-integrals-example-3-1-1-x-2

Related Videos:

Derivative of arctan(x) or Inverse tan(x): http://youtu.be/q9jdOiQ7pZY
Inverse Trigonometric Functions: Inverse cosine, sine, and tan Functions: http://youtu.be/Ifv1vkJZdrk
Improper Integrals: Example 2: x*e^x: https://youtu.be/w2FxwExbBac
Improper Integrals: Example 1: Divergent Sum: https://youtu.be/6b_zaerpudo
Improper Integrals: Introduction: https://youtu.be/ud44W-0jC-c
Improper Integrals: Type 1: Infinite Intervals: https://youtu.be/9ZlsCy3wdZU
Infinite Limits - Precise Definition: http://youtu.be/QyVTgSzn7dE
Infinite Limits - Vertical Asymptotes: http://youtu.be/H-5Txa8SOwQ .

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