Grade 12Integral Calculus

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

taniska

11 Years agoGrade 12

2 Answers

Jitender Singh

11 Years ago

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

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

Jitender Singh

11 Years ago

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

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