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anonymous
 4 years ago
Calculas help?
∫??(5−ex)(e2x)dx
anonymous
 4 years ago
Calculas help? ∫??(5−ex)(e2x)dx

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[\int\limits_{?}^{?}(5e ^{x})(e ^{2x})\]

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.1Multiply it out, it's gonna make your life much easier

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.1Int (5e^(2x)e^(3x),x)

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0opps it is suppose to be divided by the second e

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.1ohh that makes it a little different

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yea i would think so lol

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.1oh still rewrite it as: Int (5/e^(2x)  e^x/e^(2x))) Int (5*e^(2x)  e^(x))

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.1Now split it into two: 5 * Int(e^(2x))  Int(e^(x))

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.1Now just use the rule: Int (e^(kx)) = e^(kx) / k

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.1In the first half k = 2, in the second half, k = 1 So finally: 5 * (e^(2x)/(2)) + e^(x) + C

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok that makes sense thanks

bahrom7893
 4 years ago
Best ResponseYou've already chosen the best response.1btw to prove that Int (e^(kx)) = e^(kx)/k just use u sub. Let u = kx, du = k dx, etc..
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