Calculus Examples

Find the Antiderivative f(x)=9/( square root of x)
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
Apply basic rules of exponents.
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Step 4.1
Use to rewrite as .
Step 4.2
Move out of the denominator by raising it to the power.
Step 4.3
Multiply the exponents in .
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Step 4.3.1
Apply the power rule and multiply exponents, .
Step 4.3.2
Combine and .
Step 4.3.3
Move the negative in front of the fraction.
Step 5
By the Power Rule, the integral of with respect to is .
Step 6
Simplify the answer.
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Step 6.1
Rewrite as .
Step 6.2
Multiply by .
Step 7
The answer is the antiderivative of the function .