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Use the type of the definition of the integral offered in theorem 4 to advice the integral. 0 votes

Use the kind of the an interpretation of the integral provided in organize 4 to advice the integral.

You are watching: Use the form of the definition of the integral given in the theorem to evaluate the integral

Step 1:

The integral expression is .

Using theorem :

If is integrable on , then .

Where .

The integral expression is .

Here and .  Substitute in . .

Step 2:  ( since ) Sum of very first organic numbers is .

Sum that the squares of very first natural numbers is .

Simplify the expression.  .

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Solution : .