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Calculus Examples
Step 1
Split the single integral into multiple integrals.
Step 2
Since is constant with respect to , move out of the integral.
Step 3
By the Power Rule, the integral of with respect to is .
Step 4
Step 4.1
Combine and .
Step 4.2
Use to rewrite as .
Step 5
By the Power Rule, the integral of with respect to is .
Step 6
Step 6.1
Evaluate at and at .
Step 6.2
Evaluate at and at .
Step 6.3
Simplify.
Step 6.3.1
Raise to the power of .
Step 6.3.2
One to any power is one.
Step 6.3.3
Combine the numerators over the common denominator.
Step 6.3.4
Subtract from .
Step 6.3.5
Cancel the common factor of and .
Step 6.3.5.1
Factor out of .
Step 6.3.5.2
Cancel the common factors.
Step 6.3.5.2.1
Factor out of .
Step 6.3.5.2.2
Cancel the common factor.
Step 6.3.5.2.3
Rewrite the expression.
Step 6.3.5.2.4
Divide by .
Step 6.3.6
Multiply by .
Step 6.3.7
Rewrite as .
Step 6.3.8
Apply the power rule and multiply exponents, .
Step 6.3.9
Cancel the common factor of .
Step 6.3.9.1
Cancel the common factor.
Step 6.3.9.2
Rewrite the expression.
Step 6.3.10
Raise to the power of .
Step 6.3.11
Combine and .
Step 6.3.12
Multiply by .
Step 6.3.13
One to any power is one.
Step 6.3.14
Multiply by .
Step 6.3.15
Combine the numerators over the common denominator.
Step 6.3.16
Subtract from .
Step 6.3.17
To write as a fraction with a common denominator, multiply by .
Step 6.3.18
Combine and .
Step 6.3.19
Combine the numerators over the common denominator.
Step 6.3.20
Simplify the numerator.
Step 6.3.20.1
Multiply by .
Step 6.3.20.2
Add and .
Step 7
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Step 8