Calculus Examples

Find the Antiderivative -2/( 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
Since is constant with respect to , move out of the integral.
Step 5
Since is constant with respect to , move out of the integral.
Step 6
Simplify the expression.
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Step 6.1
Multiply by .
Step 6.2
Use to rewrite as .
Step 6.3
Move out of the denominator by raising it to the power.
Step 6.4
Multiply the exponents in .
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Step 6.4.1
Apply the power rule and multiply exponents, .
Step 6.4.2
Combine and .
Step 6.4.3
Move the negative in front of the fraction.
Step 7
By the Power Rule, the integral of with respect to is .
Step 8
Simplify the answer.
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Step 8.1
Rewrite as .
Step 8.2
Multiply by .
Step 9
The answer is the antiderivative of the function .