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Big Integrals - No Shortcuts

Overview

This course aims to help learners tackle challenging integrals without taking shortcuts. By exploring a variety of complex integrals, students will enhance their problem-solving skills and deepen their understanding of integration techniques. The course covers topics such as trigonometric substitutions, partial fractions, Euler substitution, and Gaussian elimination. The teaching method involves step-by-step explanations and demonstrations, making it suitable for learners with a strong foundation in calculus looking to expand their skills in integral calculus.

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.

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