Calculus Examples

Find the Antiderivative f(x)=1-3x^2
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
Apply the constant rule.
Step 5
Since is constant with respect to , move out of the integral.
Step 6
By the Power Rule, the integral of with respect to is .
Step 7
Simplify.
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Step 7.1
Simplify.
Step 7.2
Simplify.
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Step 7.2.1
Combine and .
Step 7.2.2
Cancel the common factor of and .
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Step 7.2.2.1
Factor out of .
Step 7.2.2.2
Cancel the common factors.
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Step 7.2.2.2.1
Factor out of .
Step 7.2.2.2.2
Cancel the common factor.
Step 7.2.2.2.3
Rewrite the expression.
Step 7.2.2.2.4
Divide by .
Step 8
The answer is the antiderivative of the function .