This course covers the Fundamental Theorem of Calculus (FTC) part 1, including various examples and applications. Students will learn how to calculate integrals of different functions, apply the FTC, work with Riemann Sums, and understand limits in the context of calculus. The teaching method involves solving examples and practice problems. This course is intended for learners studying calculus and looking to deepen their understanding of integration techniques and the FTC.
Calculus - FTC1 and FTC2 - Stewart Calculus Solution
Overview
Syllabus
Fundamental theorem of calculus (part 1) example#1.
Fundamental theorem of calculus (part 1) example#2.
Integral of x^3-2x from -1 to 2.
Integral of sqrt(x) from 1 to 9.
Integral of (u+2)(u-3) from 0 to 1.
Integral of (x-1)/sqrt(x) from 1 to 9.
Integral of sec^2(t) from 0 to pi/4.
Integral of (1+2y)^2 from 1 to 2.
Integral of (1+2y)^2 from 1 to 2 (with u sub first).
sect 5.3 #33, integral of (1+r)^3 from 0 to 1, two ways.
sect 5.3 #25, integral of sin(x) from pi/6 to pi.
sect 5.3 #18, fundamental theorem of calculus part 1.
sect 5.3 #16, differentiate the integral of cos^2(theta) from 0 to x^4.
Differentiate the integral of 1/(1-t^2) from 0 to cos(x).
sect 5.3 #35, integral of (v^3+3v^6)/v^4 from 1 to 2.
sect 5.3 #37, integral of x^e + e^x from 0 to 1.
sect 5.3 #39, integral of 8/(1+x^2) from 1/sqrt(3) to sqrt(3).
sect 5.3 #76, Riemann Sum.
sect 5.3 #75, calculus 1.
sect 5.3, limit and Riemann sum.
Taught by
blackpenredpen
