Consider the integral 1x3 x dx.(a) Evaluate the integral using the substitution x = sec
Chapter 7, Problem 33(choose chapter or problem)
Consider the integral \(\int \frac{1}{x^{3}-x} \ d x\).
(a) Evaluate the integral using the substitution \(x=\sec \theta\). For what values of \(x\) is your result valid?
(b) Evaluate the integral using the substitution \(x=\sin \theta\). For what values of \(x\) is your result valid?
(c) Evaluate the integral using the method of partial fractions. For what values of \(x\) is your result valid?
Equation Transcription:
∫
x = sec
x
x = sin
Text Transcription:
integral 1/x^3 - x dx
x = sec theta
x
x = sin theta
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