Calculus Examples

Evaluate the Integral integral of 3/(x^3) with respect to x
Step 1
Since is constant with respect to , move out of the integral.
Step 2
Apply basic rules of exponents.
Tap for more steps...
Step 2.1
Move out of the denominator by raising it to the power.
Step 2.2
Multiply the exponents in .
Tap for more steps...
Step 2.2.1
Apply the power rule and multiply exponents, .
Step 2.2.2
Multiply by .
Step 3
By the Power Rule, the integral of with respect to is .
Step 4
Simplify the answer.
Tap for more steps...
Step 4.1
Simplify.
Tap for more steps...
Step 4.1.1
Combine and .
Step 4.1.2
Move to the denominator using the negative exponent rule .
Step 4.2
Simplify.
Step 4.3
Simplify.
Tap for more steps...
Step 4.3.1
Multiply by .
Step 4.3.2
Combine and .
Step 4.3.3
Move the negative in front of the fraction.