Substitutions Involving e^x or ln(x) - Concept

Concept Concept (1)

Because the derivatives of e^x and ln(x) are e^x and 1/x, respectively, the integrals of the latter two functions are just the former. If the variable parts of these functions are not just x, but a polynomial of x, then the substitution method must be used to get the correct answer.

Sample Sample Problems (3)

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Substitutions Involving e^x or ln(x) - Problem 1
Problem 1
How to use the method of substitution when the antiderivatives involve e^x.
Substitutions Involving e^x or ln(x) - Problem 2
Problem 2
How to use the method of substitution when the antiderivatives involve ln[x].
Substitutions Involving e^x or ln(x) - Problem 3
Problem 3
How to use the method of substitution when the antiderivatives involve e^x or ln[x].