Calculus Examples

Evaluate the Integral integral from 1 to 5 of x^2 with respect to x
Step 1
By the Power Rule, the integral of with respect to is .
Step 2
Substitute and simplify.
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Step 2.1
Evaluate at and at .
Step 2.2
Simplify.
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Step 2.2.1
Raise to the power of .
Step 2.2.2
Combine and .
Step 2.2.3
One to any power is one.
Step 2.2.4
Multiply by .
Step 2.2.5
Combine the numerators over the common denominator.
Step 2.2.6
Subtract from .
Step 3
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form:
Step 4