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Calculus Examples
Step 1
Split the single integral into multiple integrals.
Step 2
By the Power Rule, the integral of with respect to is .
Step 3
Since is constant with respect to , move out of the integral.
Step 4
By the Power Rule, the integral of with respect to is .
Step 5
Combine and .
Step 6
Apply the constant rule.
Step 7
Step 7.1
Combine and .
Step 7.2
Substitute and simplify.
Step 7.2.1
Evaluate at and at .
Step 7.2.2
Evaluate at and at .
Step 7.2.3
Simplify.
Step 7.2.3.1
Raise to the power of .
Step 7.2.3.2
Cancel the common factor of and .
Step 7.2.3.2.1
Factor out of .
Step 7.2.3.2.2
Cancel the common factors.
Step 7.2.3.2.2.1
Factor out of .
Step 7.2.3.2.2.2
Cancel the common factor.
Step 7.2.3.2.2.3
Rewrite the expression.
Step 7.2.3.2.2.4
Divide by .
Step 7.2.3.3
Raise to the power of .
Step 7.2.3.4
Cancel the common factor of and .
Step 7.2.3.4.1
Factor out of .
Step 7.2.3.4.2
Cancel the common factors.
Step 7.2.3.4.2.1
Factor out of .
Step 7.2.3.4.2.2
Cancel the common factor.
Step 7.2.3.4.2.3
Rewrite the expression.
Step 7.2.3.4.2.4
Divide by .
Step 7.2.3.5
Multiply by .
Step 7.2.3.6
Subtract from .
Step 7.2.3.7
Multiply by .
Step 7.2.3.8
Raise to the power of .
Step 7.2.3.9
Combine and .
Step 7.2.3.10
Multiply by .
Step 7.2.3.11
To write as a fraction with a common denominator, multiply by .
Step 7.2.3.12
Combine and .
Step 7.2.3.13
Combine the numerators over the common denominator.
Step 7.2.3.14
Simplify the numerator.
Step 7.2.3.14.1
Multiply by .
Step 7.2.3.14.2
Subtract from .
Step 7.2.3.15
Move the negative in front of the fraction.
Step 7.2.3.16
Raise to the power of .
Step 7.2.3.17
Combine and .
Step 7.2.3.18
Move the negative in front of the fraction.
Step 7.2.3.19
Multiply by .
Step 7.2.3.20
To write as a fraction with a common denominator, multiply by .
Step 7.2.3.21
Combine and .
Step 7.2.3.22
Combine the numerators over the common denominator.
Step 7.2.3.23
Simplify the numerator.
Step 7.2.3.23.1
Multiply by .
Step 7.2.3.23.2
Add and .
Step 7.2.3.24
Combine the numerators over the common denominator.
Step 7.2.3.25
Subtract from .
Step 7.2.3.26
Cancel the common factor of and .
Step 7.2.3.26.1
Factor out of .
Step 7.2.3.26.2
Cancel the common factors.
Step 7.2.3.26.2.1
Factor out of .
Step 7.2.3.26.2.2
Cancel the common factor.
Step 7.2.3.26.2.3
Rewrite the expression.
Step 7.2.3.26.2.4
Divide by .
Step 7.2.3.27
Subtract from .
Step 8