# Calculus Examples

Step 1

Step 1.1

Move the negative in front of the fraction.

Step 1.2

Rewrite the summation.

Step 2

Expand the series for each value of .

Step 3

Step 3.1

Simplify each term.

Step 3.1.1

Subtract from .

Step 3.1.2

Divide by .

Step 3.1.3

Multiply by .

Step 3.1.4

Cancel the common factor of and .

Step 3.1.4.1

Factor out of .

Step 3.1.4.2

Cancel the common factors.

Step 3.1.4.2.1

Factor out of .

Step 3.1.4.2.2

Factor out of .

Step 3.1.4.2.3

Factor out of .

Step 3.1.4.2.4

Cancel the common factor.

Step 3.1.4.2.5

Rewrite the expression.

Step 3.1.5

Subtract from .

Step 3.1.6

Cancel the common factor of .

Step 3.1.6.1

Cancel the common factor.

Step 3.1.6.2

Rewrite the expression.

Step 3.1.7

Multiply by .

Step 3.1.8

Subtract from .

Step 3.2

Find the common denominator.

Step 3.2.1

Write as a fraction with denominator .

Step 3.2.2

Multiply by .

Step 3.2.3

Multiply by .

Step 3.2.4

Write as a fraction with denominator .

Step 3.2.5

Multiply by .

Step 3.2.6

Multiply by .

Step 3.3

Combine the numerators over the common denominator.

Step 3.4

Simplify each term.

Step 3.4.1

Multiply by .

Step 3.4.2

Multiply by .

Step 3.5

Subtract from .

Step 3.6

Subtract from .

Step 3.7

Move the negative in front of the fraction.

Step 4

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form: