Grade 12Integral Calculus

evaluate the following integral
∫ e^(2x) / e^(2x) – 2 dx

taniska

11 Years agoGrade 12

1 Answer

Jitender Singh

11 Years ago

Ans:
Hello student,
Please find the answer to your question below

$I = \int \frac{e^{2x}}{e^{2x}-2}dx$
$e^{2x}-2 = t$
$2(e^{2x})dx = dt$
$I = \frac{1}{2}\int \frac{1}{t}dt$
$I = \frac{1}{2}log(t)+c$
$I = \frac{1}{2}log(e^{2x}-2)+c$

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evaluate the following integral∫ e^(2x) / e^(2x) – 2 dx

taniska

1 Answer

Jitender Singh

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