Sunday

March 29, 2015

March 29, 2015

Posted by **COFFEE** on Monday, May 28, 2007 at 9:38pm.

Integral of: (t^3)(e^x)?

You mean (x^3)(e^x)?

x^3 exp(x) dx =

x^3 d[exp(x)] =

d[x^3 exp(x)] - exp(x) d[x^3] =

d[x^3 exp(x)] - 3 x^2 exp(x) dx

So, if you integrate this you get

x^3 exp(x) - 3 Integral of x^2 exp(x) dx

You must repeat this two more times the power on front of the exp(x) will get zero and then you have the answer.

It's simpler to calculate the integral by evaluating the integral of Exp(ax) and then to differentiate the answer three times w.r.t. a in order to get the x^3 in front of the exponential.

**Answer this Question**

**Related Questions**

Calculus II - What is sin(i) -- (sin of the imaginary number, i) What is cos(i...

calc: arc length - find the exact length of this curve: y = ( x^3/6 ) + ( 1/2x...

Physics/Math - A can of sardines is made to move along an x axis from x1 = 0.2 m...

integration by parts - s- integral s ln (2x+1)dx ? = ln(2x+1)x - s x d( ln (2x+1...

Re: Physics/Math - A can of sardines is made to move along an x axis from x1 = ...

Integral calculus - Please can anyone help with the following problems - thanks...

Calculus - Hello, I have some calculus homework that I can't seem to get started...

(expi)^i - This question is not well defined. By 'expi' do you mean exp(i)? In ...

maths-complex numbers - by using the substitution w = z^3, find all the ...

calc: arc length - Posted by COFFEE on Monday, June 11, 2007 at 11:48pm. find ...