SOLUTION 1 : Integrate . By formula 1 from the introduction to this section on integrating exponential functions and properties of integrals we get that
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SOLUTION 2 : Integrate . By formula 1 from the introduction to this section on integrating exponential functions and properties of integrals we get that
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SOLUTION 3 : Integrate . Use u-substitution. Let
In addition, the range of x -values is
so that the range of u -values is
Substitute into the original problem, replacing all forms of x , getting
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SOLUTION 4 : Integrate . Use u-substitution. Let
Substitute into the original problem, replacing all forms of x , getting
(Now use formula 2 from the introduction to this section on integrating exponential functions.)
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SOLUTION 5 : Integrate . First, multiply the exponential functions together. The result is
(Recall that and .)
(Use the properties of integrals.)
(Use formula 3 from the introduction to this section on integrating exponential functions.)
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