Tell, what is the antiderivative of e2x?

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Bernard Lacey · Accepted Answer

∫e2x=1l2∫2e2xdx    If 2dx=d(2x), 2 is the derivative of 2x    And we have:    12∫e2xd(2x)    Let u=2x    Thus, 12∫eudu=12eu=12e2x

Annie Levasseur · Accepted Answer

You can use the technique of integration by substitution to find this. f(x)=12e2x has f′(x)=e2x, so it&#039;s an antiderivative. And the general one is:12e2x+C

Tell, what is the antiderivative of e2x?

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