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# Calculus Examples

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

Combine and .

Step 5

Apply the constant rule.

Step 6

Step 6.1

Evaluate at and at .

Step 6.2

Evaluate at and at .

Step 6.3

Simplify.

Step 6.3.1

Raise to the power of .

Step 6.3.2

Raising to any positive power yields .

Step 6.3.3

Cancel the common factor of and .

Step 6.3.3.1

Factor out of .

Step 6.3.3.2

Cancel the common factors.

Step 6.3.3.2.1

Factor out of .

Step 6.3.3.2.2

Cancel the common factor.

Step 6.3.3.2.3

Rewrite the expression.

Step 6.3.3.2.4

Divide by .

Step 6.3.4

Multiply by .

Step 6.3.5

Add and .

Step 6.3.6

Combine and .

Step 6.3.7

Multiply by .

Step 6.3.8

Multiply by .

Step 6.3.9

Multiply by .

Step 6.3.10

Add and .

Step 6.3.11

To write as a fraction with a common denominator, multiply by .

Step 6.3.12

Combine and .

Step 6.3.13

Combine the numerators over the common denominator.

Step 6.3.14

Simplify the numerator.

Step 6.3.14.1

Multiply by .

Step 6.3.14.2

Add and .

Step 7

The result can be shown in multiple forms.

Exact Form:

Decimal Form:

Mixed Number Form:

Step 8