Calculus Examples

Find all the values where the expression switches from negative to positive by setting each factor equal to and solving.
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Solve for each factor to find the values where the absolute value expression goes from negative to positive.
Use each root to create test intervals.
Choose a test value from each interval and plug this value into the original inequality to determine which intervals satisfy the inequality.
Tap for more steps...
Test a value on the interval to see if it makes the inequality true.
Tap for more steps...
Choose a value on the interval and see if this value makes the original inequality true.
Replace with in the original inequality.
Simplify.
Tap for more steps...
Simplify the numerator.
Tap for more steps...
Remove parentheses around .
Subtract from to get .
Simplify the denominator.
Tap for more steps...
Remove parentheses.
Remove parentheses around .
Add and to get .
Divide by to get .
The left side is greater than the right side , which means the given statement is true.
True
True
Test a value on the interval to see if it makes the inequality true.
Tap for more steps...
Choose a value on the interval and see if this value makes the original inequality true.
Replace with in the original inequality.
Simplify.
Tap for more steps...
Simplify the numerator.
Tap for more steps...
Remove parentheses around .
Subtract from to get .
Simplify the denominator.
Tap for more steps...
Remove parentheses.
Remove parentheses around .
Add and to get .
Divide by to get .
The left side is less than the right side , which means the given statement is false.
False
False
Test a value on the interval to see if it makes the inequality true.
Tap for more steps...
Choose a value on the interval and see if this value makes the original inequality true.
Replace with in the original inequality.
Simplify.
Tap for more steps...
Simplify the numerator.
Tap for more steps...
Remove parentheses around .
Subtract from to get .
Simplify the denominator.
Tap for more steps...
Remove parentheses.
Remove parentheses around .
Add and to get .
The left side is greater than the right side , which means the given statement is true.
True
True
Compare the intervals to determine which ones satisfy the original inequality.
True
False
True
True
False
True
The solution consists of all of the true intervals.
Remove any values from the solution that make the denominator equal to .
Combine the intervals.
or
Enter YOUR Problem

Enter the email address associated with your Mathway account below and we'll send you a link to reset your password.

Please enter an email address
Please enter a valid email address
The email address you entered was not found in our system
The email address you entered is associated with a Facebook user
We're sorry, we were unable to process your request at this time
Mathway requires javascript and a modern browser.

Please Rate Your Tutor

Could not save your feedback. Please try again.

Please select a rating.

Thanks for your feedback!

  [ x 2     1 2     π     x d x   ]