Can we integrate x^i?
Learn how the complex integral of x^i can help us find the integral of sin(ln(x)) and cos(ln(x)) without using integration by parts. Complexifying the integral is an integration technique that is usually not taught in calculus 2. Subscribe to @blackpenredpen for more fun math videos. Check out my 100 integrals for more integration practice for your Calculus 1 or Calculus 2 class. • 100 integrals (world record?) ---------------------------------------- 🛍 Shop my math t-shirt & hoodies: amzn.to/3qBeuw6 💪 Get my math notes by becoming a patron: / blackpenredpen #blackpenredpen #math #calculus #apcalculus

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A Brilliant Limit

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u substitution: how to choose the "u"

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integral of sin(x)/x from 0 to inf by Feynman's Technique

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Calculating i to the power i the right way. Why every proof you have seen is wrong

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EXTREME quintic equation! (very tiring)

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How Euler would integrate sqrt(x^2+1)

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Complex Integration and Finding Zeros of the Zeta Function

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Why is there a Pi (π) in This Gaussian Integral?

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The Integral of your Dreams

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The Most Unexpected Identity In Mathematics | Sophomore's Dream

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When Math Isn’t Based in Reality

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The Bernoulli Integral is ridiculous

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derivative of tetration of x (hyperpower)

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Complex Analysis: Integral of xsin(x)/(x^2+1) using Contour Integration

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A very interesting differential equation.

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What Lies Between a Function and Its Derivative? | Fractional Calculus

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integral of sqrt(tan(x)) by brute force

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Why We Never Actually Learn Riemann's Original Definition of Integrals | Riemann vs Darboux Integral

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This Integral Breaks Math

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