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evaluate the following integral∫ e^(3x) / e^(3x) + 1 dx

taniska , 10 Years ago
Grade 12
anser 1 Answers
Jitender Singh

Last Activity: 10 Years ago

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

I = \int \frac{e^{3x}}{e^{3x}+1}dx
e^{3x}+1 = t
3e^{3x}dx = dt
I = \frac{1}{3}\int \frac{1}{t}dt
I = \frac{1}{3}lnt + c
I = \frac{1}{3}ln(e^{3x}+1) + c

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