Explore trigonometric integrals in this comprehensive calculus lecture from Stewart Calculus 7th edition. Learn to solve various types of integrals involving trigonometric functions, including powers of sine, cosine, tangent, and secant. Master techniques for integrating complex trigonometric expressions, such as products of trigonometric functions and their powers. Discover methods for evaluating definite integrals and handling integrals with multiple trigonometric functions. Practice with numerous examples and problems, including integrals of tan^2x, csc(x), and cot^n(x). Gain insights into different approaches for solving these integrals, including the sin-cos approach and the tan-sec method. Enhance your understanding of calculus and trigonometry through this in-depth exploration of trigonometric integrals.
Calculus - Trigonometric Integrals, Stewart Calculus Solution, 7th ET Edition
Overview
Syllabus
integral of sin^2x cos^3x.
Q37, integral of cos^2(theta) from 0 to pi/2.
integral of x*sin^2x.
Q43, integral of cos^2x*tan^3x.
Q46, Integral of (cos(x)+sin(2x))/sin(x).
Integral of tan(x)*sec^3(x), tan sec approach.
Integral of tan(x)*sec^3(x), sin cos approach.
Sect 7 2 #23 Integral of tan^2x.
Q39, integral of tan^4x*sec^6x.
Integral of tan^3x secx.
Sect 7 2 #39 Integral of csc(x), the standard result.
Sect 7 2 #39 -ln|cscx+cotx| = ln|cscx-cotx|.
Q40, Integral of sin(8x)cos(5x).
integral of tan^2(x)*sec(x).
Integral of tan^3x*sec^4x (read pinned comment).
Calculus, 7.2 #22, integral of tan^2x*sec^4x.
Q45, integral of (1-tan^2x)/sec^2x.
Q77, Integral of x*tan^2x.
integral of tan^3x, with sin cos approach.
Q41, Integral of cos^5x, by Edward Ezike.
Integral of cos^4(x).
Integral of cos^3x.
integral of cos^2x.
Integral of cos(x) vs derivative of cos(x), with BEHIND THE SCENES!.
Integral of csc(x), without that trick!.
Integral of cot(x), plus behind the scene.
Integral of cot^2(x).
Integral of cot^3(x).
Integral of cot^4(x).
Integral of cot^5x, cot(x) and csc(x) approach.
Q48, Integral of cot^5(x).
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