Dr. Menassie Ephrem
Office: SCI 218H
Phone: (843) 349-2436
E-mail:



Series handout.

Series handout video

Video on u-substitution.  Basic Examples.

u-Substitution example video - Definite integral.

Videos by Dr. Incognito.



Worksheet 7.1 & 7.2 Solutions

Worksheet 5.5

Worksheet 5.5 Solutions

Worksheet 6.1

Worksheet 6.1 Solutions

Worksheet 6.2

Worksheet 6.2 Solutions

Worksheet 6.3

Worksheet 6.3 Solutions

Worksheet 6.5

Worksheet 6.5 Solutions

Worksheet 7.1 (Integration bu parts)

Worksheet 7.2 (Trig. integrals)

Worksheet 7.3 (Trig Substitution)

Worksheet 7.3 Solutions

Worksheet 7.4 (Partial Fractions)

Worksheet 7.4 Solutions

Worksheet 7.8 (Improper integrals)

Worksheet 7.8 Solutions

Worksheet 9.3 (Separable Diff Eqs)

Worksheet 9.3 Solutions

Sequences WS

Geo & Telescopic Series WS

Seq + Geo & Tele WS Solutions


Integral Test WS

Int. Test Solutions

Comparison Test WS

Comparison Test Solutions

Alternating Test

Alternating Solutions

Absolute/Conditional Conv

Ratio/Root Test

Abs/Cond R&R Solutions

Power Series

Power Series Solutions


The following are youtube videos on worksheet 7.1 and 7.2 (integration by parts and trigonometric integrals) problems.

Integral of x cos x dx

Integral of y e^y dy

Integral of t^15 ln t dt

Integral of x^2 sin2x dx

Integral of x^3 e^x dx

Integral of ln (12x) dx

Integral of arctan y dy

Integral of arcsin x dx

Integral of e^5x sin2x dx

Integral of cos x sin^12x dx

Integral of cos^3x sin^10x dx

Integral of cos^14(3t) sin^5(3t) dt

Integral of sec^2(x) tan^6(x) dx

Integral of sec^5(x) tan^3(x) dx



-----------------------------------------------------------------------------------------------------------------------------------------------------------------------

Video #1 on Trigonometric Substitutions

Video #2 on Trigonometric Substitutions

Video #3 on Trigonometric Substitutions.  A complete example.



Integration by Parts review

Trigonometric Integrals review

Partial Frac Decoomposition review

Improper Integrals Lecture 1

Improper Integrals Examples







Sequences