In Exercises 45 and 46, both substitution and integration by parts are used to determine the indefinite integral. 45. Evaluate fevs dx by letting u = Vx. Note that x = u², so dx = 2u du. Make the substitutions and observe that the new integral (with variable u) can be evaluated using integration by parts. 1 =dx by letting u = Vx and following 46. Evaluate 1 + the procedure used in Exercise 45.

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Chapter7: Integration
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In Exercises 45 and 46, both substitution and integration by
parts are used to determine the indefinite integral.
45. Evaluate fevs dx by letting u = Vx. Note that x = u²,
so dx = 2u du. Make the substitutions and observe that
the new integral (with variable u) can be evaluated using
integration by parts.
1
=dx by letting u = Vx and following
46. Evaluate
1 +
the procedure used in Exercise 45.
Transcribed Image Text:In Exercises 45 and 46, both substitution and integration by parts are used to determine the indefinite integral. 45. Evaluate fevs dx by letting u = Vx. Note that x = u², so dx = 2u du. Make the substitutions and observe that the new integral (with variable u) can be evaluated using integration by parts. 1 =dx by letting u = Vx and following 46. Evaluate 1 + the procedure used in Exercise 45.
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