Chapter . 5.4.16

1.1 Problem Statement

{2,3}
pow($a,2)
{3,5,7}
$a*$c+$b
$a*$c

Find the formula for the function represented by the integral.

1.2 Step 1

The Fundamental Theorem of Calculus (Part 1) states that if f(x) is a continuous function on an interval [a, b], then where F(x) is an antiderivative of f(x).

We can use the Fundamental Theorem of Calculus (Part 1) since is continuous over the interval for .

Question Sequence

Question 1.1

Find an antiderivative, F(t), of .

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Correct.
That's not right. Check your work.
Incorrect.

1.3 Step 2

Recall that the constant term, C, cancels out when evaluating a definite integral and is omitted in the calculations.

Question Sequence

Question 1.2

Evaluate the definite integral.

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Incorrect. Do you see where you went wrong?
Excellent work.