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Calculus Examples
Step 1
Rewrite as .
Step 2
Since is constant with respect to , move out of the integral.
Step 3
Step 3.1
Use to rewrite as .
Step 3.2
Move out of the denominator by raising it to the power.
Step 3.3
Multiply the exponents in .
Step 3.3.1
Apply the power rule and multiply exponents, .
Step 3.3.2
Combine and .
Step 3.3.3
Move the negative in front of the fraction.
Step 4
By the Power Rule, the integral of with respect to is .
Step 5
Step 5.1
Evaluate at and at .
Step 5.2
Simplify.
Step 5.2.1
Rewrite as .
Step 5.2.2
Apply the power rule and multiply exponents, .
Step 5.2.3
Cancel the common factor of .
Step 5.2.3.1
Cancel the common factor.
Step 5.2.3.2
Rewrite the expression.
Step 5.2.4
Evaluate the exponent.
Step 5.2.5
Multiply by .
Step 5.2.6
One to any power is one.
Step 5.2.7
Multiply by .
Step 5.2.8
Subtract from .
Step 5.2.9
Move to the left of .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Step 7