Wednesday

July 23, 2014

July 23, 2014

Posted by **keisha** on Tuesday, April 20, 2010 at 4:55pm.

ingergral[(x^2-e^3x)/(x^3-e^3x)^2]dx

- calculus -
**Reiny**, Tuesday, April 20, 2010 at 5:02pmBy the "Just Look-at-it Theorem and Knowing your Derivatives" and knowing the derivative of ln(...)

I noticed that the derivative of the bottom would be

3(x^2 - e^3x) , which just happens to look awfully close to the top

so if y' = [(x^2-e^3x)/(x^3-e^3x)^2] then

y = (1/3)(ln(x^3 - e^3x))

**Related Questions**

calculus - how do you evauste the intergral intergral (2x^4-2x^3+6x^2-5x+1)/(x^3...

calculus -- PLEASE HELP! - Suppose you are trying to evaluate the intergral 2x^...

calculus - Evaluate the following integrals using the given substitutions. (a) (...

Calculus - FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD e^3X DX

CALCULUS - FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD X^3+X^2/...

CALCULUS - FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD (X^4-16)^...

CALCULUS - FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD X^3+X^2/3X^...

CALCULUS - FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD X^3+X^2/3X^...

CALCULUS - FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD DX/1+5X

CALCULUS - FIND EACH INDEFINITE INTERGRAL BY THE SUBSTITUTION METHOD e^3X DX