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integral (a^x) dx

= (a^x) / ln(a)

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Q: Integral formula of a raised to x?
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Related questions

What is the integral of e raised to x squared?

maths signs


Integral of 3 raised to x?

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.


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.


What is the integral of x raised to power x?

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.


What is the antiderivative of e raised to the one tenth x?

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


Integrate e raised to power x raised to power 2?

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.


What is the integral of e raised to the square root of x divided by the square root of x?

replace square root o x with t.


What is the integral of e raised to the square root of x?

better place to ask would be yahoo answers


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 integral of e raised to x cubed?

(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 1 divided by sinx cosx?

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


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))