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Calculus Examples
Step 1
Subtract from both sides of the equation.
Step 2
Multiply both sides by .
Step 3
Step 3.1
Rewrite using the commutative property of multiplication.
Step 3.2
Cancel the common factor of .
Step 3.2.1
Move the leading negative in into the numerator.
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 3.3
Rewrite using the commutative property of multiplication.
Step 3.4
Cancel the common factor of .
Step 3.4.1
Move the leading negative in into the numerator.
Step 3.4.2
Factor out of .
Step 3.4.3
Cancel the common factor.
Step 3.4.4
Rewrite the expression.
Step 3.5
Move the negative in front of the fraction.
Step 4
Step 4.1
Set up an integral on each side.
Step 4.2
Apply the constant rule.
Step 4.3
Integrate the right side.
Step 4.3.1
Since is constant with respect to , move out of the integral.
Step 4.3.2
The integral of with respect to is .
Step 4.3.3
Simplify.
Step 4.4
Group the constant of integration on the right side as .
Step 5
Step 5.1
Divide each term in by .
Step 5.2
Simplify the left side.
Step 5.2.1
Dividing two negative values results in a positive value.
Step 5.2.2
Divide by .
Step 5.3
Simplify the right side.
Step 5.3.1
Simplify each term.
Step 5.3.1.1
Dividing two negative values results in a positive value.
Step 5.3.1.2
Divide by .
Step 5.3.1.3
Move the negative one from the denominator of .
Step 5.3.1.4
Rewrite as .
Step 6
Simplify the constant of integration.