Calculus Examples

Evaluate the Integral integral of ((2x^3+x^2-3x)/x) with respect to x
Step 1
Remove parentheses.
Step 2
Split the fraction into multiple fractions.
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Step 2.1
Factor out of .
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Step 2.1.1
Factor out of .
Step 2.1.2
Factor out of .
Step 2.1.3
Factor out of .
Step 2.1.4
Factor out of .
Step 2.1.5
Factor out of .
Step 2.2
Cancel the common factor of .
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Step 2.2.1
Cancel the common factor.
Step 2.2.2
Divide by .
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
By the Power Rule, the integral of with respect to is .
Step 7
Combine and .
Step 8
Apply the constant rule.
Step 9
Simplify.
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Step 9.1
Simplify.
Step 9.2
Reorder terms.