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Basic Integration

Offered By: The Organic Chemistry Tutor via YouTube

Tags

Calculus Courses Rational Functions Courses Trigonometric Functions Courses Exponential Functions Courses Logarithmic Functions Courses

Course Description

Overview

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.

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

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