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ComFlu945
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Homework Statement
How would I integrate exp(x)*cos(x), exp is referring to euler's number
Homework Equations
The Attempt at a Solution
u substitution doesn't work
benorin said:[tex]e^x \cos x =\Re \, e^{(1+i)x}[/tex] which integrates nicely.
To integrate exp(x)*cos(x), you can use integration by parts or the substitution method.
The result of integrating exp(x)*cos(x) is (exp(x)*sin(x))/2 + C, where C is the constant of integration.
Yes, most scientific calculators have the capability to integrate functions, including exp(x)*cos(x). However, it is important to double check the result as calculators may make mistakes.
There are multiple methods that can be used to integrate exp(x)*cos(x), such as integration by parts, substitution, or using trigonometric identities. The best method to use may vary based on the specific problem.
One tip for solving integrals with exp(x)*cos(x) is to try using trigonometric identities, such as cos(x) = (e^(ix) + e^(-ix))/2, to simplify the expression before integrating. Additionally, practice and familiarity with different integration methods can also be helpful in solving these types of integrals.