5.4.16
Problem Statement
{2,3}
pow(3,2)
{3,5,7}
3*5+9
3*5
Find the formula for the function represented by the integral.
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
Find an antiderivative, F(t), of .
| A. |
| B. |
| C. |
| D. |
Correct.
That's not right. Check your work.
Incorrect.
Step 2
Recall that the constant term, C, cancels out when evaluating a definite integral and is omitted in the calculations.
Question Sequence
Question 2
Evaluate the definite integral.
| A. |
| B. |
| C. |
| D. |
Incorrect. Do you see where you went wrong?
Excellent work.