Calculus Examples

Find the Antiderivative x square root of x
Step 1
Write as a function.
Step 2
The function can be found by finding the indefinite integral of the derivative .
Step 3
Set up the integral to solve.
Step 4
Simplify.
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Step 4.1
Use to rewrite as .
Step 4.2
Multiply by by adding the exponents.
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Step 4.2.1
Multiply by .
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Step 4.2.1.1
Raise to the power of .
Step 4.2.1.2
Use the power rule to combine exponents.
Step 4.2.2
Write as a fraction with a common denominator.
Step 4.2.3
Combine the numerators over the common denominator.
Step 4.2.4
Add and .
Step 5
By the Power Rule, the integral of with respect to is .
Step 6
The answer is the antiderivative of the function .