The function involving the sign | | is known as modulus function.
Let us take a modulus function f(x) = |x|,
f(x) = x, when x > 0
f(x) = x, when x > 0
f(x) = 0, when x = 0
Step 1 :
To evaluate the integral, we first equate the given function to zero and find x intercept.
Step 2 :
The modulus function will always have the shape of V. Draw the graph.
Step 3 :
With the given interval, divide the integral into parts, then integrate it.
Problem 1 :
Solution :
Let y = 5x-3
put y = 0
5x-3 = 0
x = 3/5
f(x) = -(5x-3), when x < 3/5
f(x) = (5x-3), when x > 3/5
Problem 2 :
Solution :
Let y = x+3
put y = 0
x+3 = 0
x = -3
f(x) = -(x+3), when x < -3
f(x) = (x+3), when x > -3
By simplifying, we get
= 25
So, the answer is 25.
Kindly mail your feedback to v4formath@gmail.com
We always appreciate your feedback.
©All rights reserved. onlinemath4all.com
Jan 17, 22 10:45 AM
Trigonometry Word Problems Worksheet with Answers
Jan 17, 22 10:41 AM
Trigonometry Word Problems with Solutions
Jan 16, 22 11:56 PM
Writing Numbers in Words Worksheet