0
(ex)3=e3x, so int[(ex)3dx]=int[e3xdx]=e3x/3
the integral ex^3 involves a complex function useful only to integrations such as this known as the exponential integral, or En(x). The integral is:-(1/3)x*E2/3(-x3). To solve this integral, and for more information on the exponential integral, go to http://integrals.wolfram.com/index.jsp?expr=e^(x^3)&random=false
Still curious? Ask our experts.
Chat with our AI personalities
Ezra
Judy
ViviAdd your answer:
Earn +20 pts
What is the integral of e raised to x raised to 8?
(e^x)^8 can be written as e^(8*x), so the integral of e^(8*x) = (e^(8*x))/8 or e8x/ 8, then of course you have to add a constant, C.
Integral of 1 divided by x cubed?
I will assume that this is sopposed to be integrated with respect to x. To make this problem easier, imagine that the integrand is x raised to the negative 3. The integral is 1/(-2x-2) plus some constant c.
What is the antiderivative of e raised to the one tenth x?
The integral would be 10e(1/10)x+c
Integral of e to the power of -x?
integral of e to the power -x is -e to the power -x
What is the integral of e raised to the cube root of x?
A primitive to e^(x^(1/3)) is (e^(x^(1/3)))*(6-6x^(1/3)+3x^(2/3))
