# Calculus Examples

Step 1
Simplify the summation.
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
Simplify.
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: