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Big Integrals - No Shortcuts

blackpenredpen via YouTube

Overview

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Dive into a comprehensive playlist of challenging integral problems, covering a wide range of advanced techniques and complex expressions. Learn to solve integrals involving trigonometric functions, logarithms, and radical expressions, as well as tackle difficult rational functions and multi-step problems. Master methods such as trigonometric substitution, Euler substitution, partial fractions, and Gaussian elimination. Explore unique approaches to seemingly impossible integrals and discover unconventional solutions to familiar problems. Enhance your problem-solving skills and deepen your understanding of calculus through this extensive collection of advanced integration exercises.

Syllabus

Integral of sqrt(1+tan(x)).
integral of ln(sqrt(x+1)+sqrt(x)) by trig sub.
Integral of 1/(x^6+1).
Integral of 1/(1+x^4) by Brute-force Partial Fraction!.
integral of sqrt(x^2+1), with Euler Substitution, math for fun.
Integral of 1/(x^3+1) from 100 integrals.
The Easiest Integral on YouTube.
Gaussian Elimination Marathon, #bprpLIVE.
Integral of 1/(sin^6(x)+cos^6(x)).
Impossible?.
Intimidating integral but not so bad, (dear Anupam).
Integral of (x^2+20)/(x*sin(x)+5cos(x))^2.
Integral of 1/(x^4+1) from 1 to inf.
integral of x^2 but no power rule.
an integral of an integral.

Taught by

blackpenredpen

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