Calculus Examples

Find the Antiderivative
The function can be found by finding the indefinite integral of the derivative .
Set up the integral to solve.
Subtract from .
Split the single integral into multiple integrals.
By the Power Rule, the integral of with respect to is .
Since is constant with respect to , move out of the integral.
By the Power Rule, the integral of with respect to is .
Simplify.
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Simplify.
Simplify.
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Combine and .
Combine and .
Reduce the expression by cancelling the common factors.
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Move the negative in front of the fraction.
Reorder terms.
The answer is the antiderivative of the function .
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