Split the fraction into multiple fractions.

Split the single integral into multiple integrals.

Cancel the common factor of and .

Factor out of .

Cancel the common factors.

Raise to the power of .

Factor out of .

Cancel the common factor.

Rewrite the expression.

Divide by .

Move the negative in front of the fraction.

By the Power Rule, the integral of with respect to is .

Since is constant with respect to , move out of the integral.

The integral of with respect to is .

Evaluate at and at .

Evaluate at and at .

Simplify.

Combine and .

One to any power is one.

Multiply by .

To write as a fraction with a common denominator, multiply by .

Combine and .

Combine the numerators over the common denominator.

Multiply by .

Use the quotient property of logarithms, .

Combine the numerators over the common denominator.

is approximately which is positive so remove the absolute value

The absolute value is the distance between a number and zero. The distance between and is .

Simplify the numerator.

Divide by .

The natural logarithm of is .

Multiply by .

Subtract from .

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Evaluate integral from 1 to e of (x^2-1)/x with respect to x