Calculus Examples

Find the Antiderivative f(x)=1/2x^2-2x+6
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
Split the single integral into multiple integrals.
Step 4
Since is constant with respect to , move out of the integral.
Step 5
By the Power Rule, the integral of with respect to is .
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
Apply the constant rule.
Step 9
Simplify.
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Step 9.1
Combine and .
Step 9.2
Simplify.
Step 9.3
Reorder terms.
Step 10
The answer is the antiderivative of the function .