Calculus Examples

Evaluate the Integral integral of (x+4)/( square root of x) with respect to x
Step 1
Use to rewrite as .
Step 2
Move out of the denominator by raising it to the power.
Step 3
Multiply the exponents in .
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Step 3.1
Apply the power rule and multiply exponents, .
Step 3.2
Combine and .
Step 3.3
Move the negative in front of the fraction.
Step 4
Expand .
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Step 4.1
Apply the distributive property.
Step 4.2
Raise to the power of .
Step 4.3
Use the power rule to combine exponents.
Step 4.4
Write as a fraction with a common denominator.
Step 4.5
Combine the numerators over the common denominator.
Step 4.6
Subtract from .
Step 4.7
Reorder and .
Step 5
Split the single integral into multiple integrals.
Step 6
Since is constant with respect to , move out of the integral.
Step 7
By the Power Rule, the integral of with respect to is .
Step 8
By the Power Rule, the integral of with respect to is .
Step 9
Simplify.