Study guides

☆☆

Q: Integral formula of a raised to x?

Write your answer...

Submit

Still have questions?

Related questions

maths signs

The integral of 3x is ln(3)*3x. Take the natural log of the base and multiply it by the base raised to the power.

(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.

Using information from the Wolframalpha site. It seems that this integral can't be expressed as a finite amount of standard functions; you can go to the Wolfram Alpha site, and type "integral x^x", to get a series expansion if you are interested.

The integral would be 10e(1/10)x+c

replace square root o x with t.

This integral cannot be performed analytically. Ony when the integral is taken from 0 to infinity can it be computed by squaring the integral and applying a change of variable (switching to polar coordinates). if desired I could show how to do this.

better place to ask would be yahoo answers

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.

Integral of [1/(sin x cos x) dx] (substitute sin2 x + cos2 x for 1)= Integral of [(sin2 x + cos2 x)/(sin x cos x) dx]= Integral of [sin2 x/(sin x cos x) dx] + Integral of [cos2 x/(sin x cos x) dx]= Integral of (sin x/cos x dx) + Integral of (cos x/sin x dx)= Integral of tan x dx + Integral of cot x dx= ln |sec x| + ln |sin x| + C

(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

integral of e to the power -x is -e to the power -x

The integral of x cos(x) dx is cos(x) + x sin(x) + C

In reimann stieltjes integral if we assume a(x) = x then it becomes reimann integral so we can say R-S integral is generalized form of reimann integral.

if you are integrating with respect to x, the indefinite integral of 1 is just x

A primitive to e^(x^(1/3)) is (e^(x^(1/3)))*(6-6x^(1/3)+3x^(2/3))

The integral of 2-x = 2x - (1/2)x2 + C.

xln(x)-x

-cosine x

The integral of arcsin(x) dx is x arcsin(x) + (1-x2)1/2 + C.

By antiderivative do you mean integral? If yes, integral x^1 dx= (x^2)/2

The integral of -x2 is -1/3 x3 .

integral of radical sinx

integral x/(x-1) .dx = x - ln(x-1) + c where ln = natural logarithm and c = constant of integration alternatively if you meant: integral x/x - 1 .dx = c

The integral of X 4Y X 8Y 2 With respect to X is 2ln(10/9).