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Calculus Examples
Step 1
Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 1.4
Reorder and .
Step 1.5
Raise to the power of .
Step 1.6
Raise to the power of .
Step 1.7
Use the power rule to combine exponents.
Step 1.8
Add and .
Step 1.9
Multiply by .
Step 1.10
Add and .
Step 2
Split the single integral into multiple integrals.
Step 3
By the Power Rule, the integral of with respect to is .
Step 4
Since is constant with respect to , move out of the integral.
Step 5
By the Power Rule, the integral of with respect to is .
Step 6
Combine and .
Step 7
Apply the constant rule.
Step 8
Step 8.1
Combine and .
Step 8.2
Substitute and simplify.
Step 8.2.1
Evaluate at and at .
Step 8.2.2
Evaluate at and at .
Step 8.2.3
Simplify.
Step 8.2.3.1
One to any power is one.
Step 8.2.3.2
Multiply by .
Step 8.2.3.3
Multiply by .
Step 8.2.3.4
To write as a fraction with a common denominator, multiply by .
Step 8.2.3.5
Combine and .
Step 8.2.3.6
Combine the numerators over the common denominator.
Step 8.2.3.7
Simplify the numerator.
Step 8.2.3.7.1
Multiply by .
Step 8.2.3.7.2
Subtract from .
Step 8.2.3.8
Move the negative in front of the fraction.
Step 8.2.3.9
Raising to any positive power yields .
Step 8.2.3.10
Multiply by .
Step 8.2.3.11
Multiply by .
Step 8.2.3.12
Add and .
Step 8.2.3.13
Multiply by .
Step 8.2.3.14
Add and .
Step 8.2.3.15
One to any power is one.
Step 8.2.3.16
Raising to any positive power yields .
Step 8.2.3.17
Cancel the common factor of and .
Step 8.2.3.17.1
Factor out of .
Step 8.2.3.17.2
Cancel the common factors.
Step 8.2.3.17.2.1
Factor out of .
Step 8.2.3.17.2.2
Cancel the common factor.
Step 8.2.3.17.2.3
Rewrite the expression.
Step 8.2.3.17.2.4
Divide by .
Step 8.2.3.18
Multiply by .
Step 8.2.3.19
Add and .
Step 8.2.3.20
To write as a fraction with a common denominator, multiply by .
Step 8.2.3.21
To write as a fraction with a common denominator, multiply by .
Step 8.2.3.22
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Step 8.2.3.22.1
Multiply by .
Step 8.2.3.22.2
Multiply by .
Step 8.2.3.22.3
Multiply by .
Step 8.2.3.22.4
Multiply by .
Step 8.2.3.23
Combine the numerators over the common denominator.
Step 8.2.3.24
Simplify the numerator.
Step 8.2.3.24.1
Multiply by .
Step 8.2.3.24.2
Subtract from .
Step 8.2.3.25
Move the negative in front of the fraction.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Step 10