Pleaseee help on these two questions!

Question

1. Use geometry to evaluate integral(with upper bound of 10 and lower bound of 0) of f(x) dx for f(x)= {5, x <=5 and 10-x, x > 5

A. 12.5
B. 25
C. 37.5
D. Cannot be found

2. Use your calculator to evaluate the limit from x equals 0 to 2 of sin(x^2) dx. Give your answer to the nearest integer.

______(fill in the blank)

Thank you in advance for the help. I greatly appreciate it, Thank you!

Answer 1

#1 Really? Draw the graph. You have a square and a triangle. What do you get?

#2 So, use your calculator
You can also verify your result here:

https://www.wolframalpha.com/input/?i=integral%5B0..2%5D+sin(x%5E2)+dx

Answer 2

Oobleck, can you please help me out on one more question. I'm gonna post it right now. Thanks!

Answer 3

Oobleck, I got 25 for answer one. I got it marked wrong. I guess I did something wrong along the way. Can you please explain to me the process. I don't know where I messed up while working the problem.

Answer 4

The response above is mine. Just figured I'd let you know so that you don't get confused. Thank you!

Answer 5

The square has an area of 25
The triangle to the right has an area of 12.5

Clearly you did not draw the graph, nor read my hint.