Chapter 5: Q. 7 (page 441)
Show that the equation is equivalent to the equation for all x for which q(x) is nonzero.
Short Answer
The given equation has been proved.
Chapter 5: Q. 7 (page 441)
Show that the equation is equivalent to the equation for all x for which q(x) is nonzero.
The given equation has been proved.
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Get started for freeSolve each of the integrals in Exercises 39–74. Some integrals require trigonometric substitution, and some do not. Write your answers as algebraic functions whenever possible.
For each integral in Exercises 5–8, write down three integrals that will have that form after a substitution of variables.
Solve given definite integrals.
Solve the integral
Why don’t we need to have a square root involved in order to apply trigonometric substitution with the tangent? In other words, why can we use the substitution when we see , even though we can’t use the substitution unless the integrand involves the square root of? (Hint: Think about domains.)
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