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Calculus Examples
Step 1
The function can be found by finding the indefinite integral of the derivative .
Step 2
Set up the integral to solve.
Step 3
Since is constant with respect to , move out of the integral.
Step 4
Step 4.1
Move out of the denominator by raising it to the power.
Step 4.2
Multiply the exponents in .
Step 4.2.1
Apply the power rule and multiply exponents, .
Step 4.2.2
Multiply by .
Step 5
By the Power Rule, the integral of with respect to is .
Step 6
Step 6.1
Rewrite as .
Step 6.2
Simplify.
Step 6.2.1
Multiply by .
Step 6.2.2
Combine and .
Step 6.2.3
Move the negative in front of the fraction.
Step 7
The answer is the antiderivative of the function .