Evaluate the Integral $\int_{0}^{1} \frac{e^{2 x}}{1+e^{4 x}} d x$

question 45

Short Answer

Evaluate the integral. $\int_{0}^{1} \frac{e^{2 x}}{1+e^{4 x}} d x$

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Definitions:

Radical Equation

An equation in which the variable is contained inside a radical, often a square root.

Square Root

A number that, once squared, equals the number it originated from.

Pythagorean Theorem

A mathematical principle that establishes a relationship between the lengths of the sides of a right triangle, stating that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.

Radical Equation

A mathematical equation that involves a radical, where the variable is inside a root, such as a square root or cube root.