Calculus Examples

Evaluate the Integral integral of (x-1)(x+a) with respect to x
Step 1
Expand .
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Step 1.1
Apply the distributive property.
Step 1.2
Apply the distributive property.
Step 1.3
Apply the distributive property.
Step 1.4
Raise to the power of .
Step 1.5
Raise to the power of .
Step 1.6
Use the power rule to combine exponents.
Step 1.7
Add and .
Step 1.8
Reorder and .
Step 1.9
Move .
Step 2
Split the single integral into multiple integrals.
Step 3
By the Power Rule, the integral of with respect to is .
Step 4
Apply the constant rule.
Step 5
Simplify.
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Step 5.1
Rewrite as .
Step 5.2
Rewrite as .
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
Combine and .
Step 9
Since is constant with respect to , move out of the integral.
Step 10
By the Power Rule, the integral of with respect to is .
Step 11
Simplify.
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Step 11.1
Combine and .
Step 11.2
Simplify.
Step 12
Reorder terms.