Evaluating Definite Integrals by Finding Antiderivatives Question - None

Question

Evaluate $$\int_{0}^{\ln 2} \frac{e^x}{1+e^x} dx$$

Accepted Answer

Solution:
$1 + e^x = t \implies e^x dx = dt$
$x = 0 \implies t = 2$
$x = \ln 2 \implies t = 1 + 2 = 3$
$$\int_{2}^{3} \frac{dt}{t} \implies (\ln |t|)_2^3 = \ln \left( \frac{3}{2} \right)$$

Question:

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