SUBJECT: INTEGRAL CALCULUS FOR ENGINEERS

TOPIC:

Integration by Substitution : Algebraic Functions

Integration by Substitution : Exponential Functions

Integration by Substitution : Trigonometric Functions

Integration by Substitution : Inverse Trigonometric Functions

Evaluating a Definite Integral Solvable Groups of Trigonometric Integrals

Integrals involving Quadratic Expressions

Miscellaneous Substitution Miscellaneous

Substitution u = (ax + b)^m

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PROBLEM SOLVING: Evaluate the following integrals 1. [ dx / (x - 1) 2 from - 3 to 0 = 2. SV (4-x) dx from 0 to 4 3. J(9-x) 1/3 dx from 1 to 9 4. [ (2x + 1) dx / (x 2 + 9) 5. [ (3x - 17) dx / (x2 - 6x + 10) =