Calculus Examples

Evaluate the Integral integral of 3x^2-6x with respect to x
Step 1
Split the single integral into multiple integrals.
Step 2
Since is constant with respect to , move out of the integral.
Step 3
By the Power Rule, the integral of with respect to is .
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
Simplify.
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Step 6.1
Simplify.
Step 6.2
Simplify.
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Step 6.2.1
Combine and .
Step 6.2.2
Cancel the common factor of .
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Step 6.2.2.1
Cancel the common factor.
Step 6.2.2.2
Rewrite the expression.
Step 6.2.3
Multiply by .
Step 6.2.4
Combine and .
Step 6.2.5
Cancel the common factor of and .
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Step 6.2.5.1
Factor out of .
Step 6.2.5.2
Cancel the common factors.
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Step 6.2.5.2.1
Factor out of .
Step 6.2.5.2.2
Cancel the common factor.
Step 6.2.5.2.3
Rewrite the expression.
Step 6.2.5.2.4
Divide by .