Calculus Examples

Evaluate the Integral integral of 7/(2x^(9/4)) 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 .
Tap for more steps...
Step 2.2.2.1
Combine and .
Step 2.2.2.2
Multiply by .
Step 2.2.3
Move the negative in front of the fraction.
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
Rewrite as .
Step 4.2
Simplify.
Tap for more steps...
Step 4.2.1
Multiply by .
Step 4.2.2
Move to the left of .
Step 4.2.3
Multiply by .
Step 4.2.4
Multiply by .
Step 4.2.5
Multiply by .
Step 4.2.6
Factor out of .
Step 4.2.7
Cancel the common factors.
Tap for more steps...
Step 4.2.7.1
Factor out of .
Step 4.2.7.2
Cancel the common factor.
Step 4.2.7.3
Rewrite the expression.