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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Lambert W Function (domain, range, approximation, solving equations, derivative & integral)
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exact value of sin(3 degrees)
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The Integral of your Dreams
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Complex Integration and Finding Zeros of the Zeta Function
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Supreme Integral with Feynman's Trick
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2026 Fields Medal: Hong Wang
![Gaussian Integral [Int{e^-x^2} from -inf to inf]](https://i.ytimg.com/vi/yM_7mrfRW0o/hqdefault.jpg?sqp=-oaymwEjCNACELwBSFryq4qpAxUIARUAAAAAGAElAADIQj0AgKJDeAE=&rs=AOn4CLDxCMNv9LYMTMn7MN8cHxhHVS2t8g)
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Gaussian Integral [Int{e^-x^2} from -inf to inf]
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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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The Bernoulli Integral is ridiculous
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Newton's method and Omega Constant
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How Euler's Number Was Discovered
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Can n factorial = n termial? (Solving n!=n?)
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u substitution: how to choose the "u"
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What Lies Between a Function and Its Derivative? | Fractional Calculus
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so you want a HARD integral from the Berkeley Math Tournament
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Math for fun, sin(z)=2
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integral of sin(x)/x from 0 to inf by Feynman's Technique
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How Euler would integrate sqrt(x^2+1)
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How to Take the Factorial of Any Number
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