Learn essential integration techniques in this comprehensive 2.5-hour video tutorial. Master a wide range of integrals, including trigonometric functions, logarithms, exponentials, and their combinations. Explore methods for solving complex integrals such as cos(2x), tanx, lnx/x, e^x sinx, and sin(lnx). Gain proficiency in integrating powers of trigonometric functions, including sin^2x, cos^3x, and tan^4x. Tackle challenging integrals involving square roots, absolute values, and inverse trigonometric functions. Enhance your problem-solving skills with practical examples and step-by-step explanations, preparing you for advanced calculus and mathematical analysis.
Overview
Syllabus
Integral of Cos(2x).
Integral of tanx.
Integral of lnx/x.
Integral of lnx/x^2.
Integral of e^x sinx.
Integral of Sin(lnx).
Integral of lnx.
Integral of (lnx)^2.
Integral of Sin^2x.
Integral of cos^3x.
Integral of cos^2x.
Integral of sin^3x.
Integral of sin^4x.
Integral of tan^2x.
Integral of sinx cosx.
Integral of sin^5(x).
Integral of tan^3(x).
Integral of tan^4x.
Integral of tan^5(x).
Integral of sec(x).
Integral of sec^3x.
Integral of e^sqrt(x).
Integral of 1/(1+x^2).
Integral of x^2/(x^2+1).
Integral of 1/e^x.
Integral of 1/sqrt(x).
Integral of absolute value of x or abs(x).
Integral of x/sqrt(1-x^2).
Integral of 1/sqrt(1-x^2).
Integral of x/sqrt(x+1).
Integral of 1/(1+e^x).
Integral of xe^x.
integral of arcsin(x).
Taught by
The Organic Chemistry Tutor
