Evaluate integral from one to seven of ( natural log of (x) to the power of two) divide(x to the power of three) with respect to x

Evaluate integral from 1 to 7 of ( natural log of (x)^2)/(x^3) with respect to x
Rewrite as .
Since is constant with respect to , move out of the integral.
Apply basic rules of exponents.
Tap for more steps...
Move out of the denominator by raising it to the power.
Multiply the exponents in .
Tap for more steps...
Apply the power rule and multiply exponents, .
Multiply by .
Integrate by parts using the formula , where and .
Simplify.
Tap for more steps...
Combine and .
Multiply and .
Raise to the power of .
Use the power rule to combine exponents.
Add and .
Since is constant with respect to , move out of the integral.
Simplify.
Tap for more steps...
Multiply by .
Multiply by .
Since is constant with respect to , move out of the integral.
Apply basic rules of exponents.
Tap for more steps...
Move out of the denominator by raising it to the power.
Multiply the exponents in .
Tap for more steps...
Apply the power rule and multiply exponents, .
Multiply by .
By the Power Rule, the integral of with respect to is .
Simplify the answer.
Tap for more steps...
Simplify.
Tap for more steps...
Combine and .
Combine and .
Move to the denominator using the negative exponent rule .
Substitute and simplify.
Tap for more steps...
Evaluate at and at .
Evaluate at and at .
Simplify.
Tap for more steps...
Raise to the power of .
Multiply by .
One to any power is one.
Multiply by .
Raise to the power of .
Multiply by .
One to any power is one.
Multiply by .
To write as a fraction with a common denominator, multiply by .
Write each expression with a common denominator of , by multiplying each by an appropriate factor of .
Tap for more steps...
Combine.
Multiply by .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Multiply by .
Add and .
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Rewrite as a product.
Multiply and .
Multiply by .
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Factor out of .
Cancel the common factor.
Rewrite the expression.
Evaluate.
Tap for more steps...
Simplify each term.
Tap for more steps...
Rewrite as .
Simplify by moving inside the logarithm.
One to any power is one.
The natural logarithm of is .
Add and .
Apply the distributive property.
Cancel the common factor of .
Tap for more steps...
Move the leading negative in into the numerator.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply .
Tap for more steps...
Combine and .
Multiply by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Do you need help with solving Evaluate integral from 1 to 7 of ( natural log of (x)^2)/(x^3) with respect to x? We can help you. You can write to our math experts in our application. The best solution for you is above on this page.