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Integral formula of a raised to x?
integral (a^x) dx = (a^x) / ln(a)
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?
better place to ask would be yahoo answers
How do you solve the limits of a definite integral?
By using the fundamental theorem of Calculus. i.e. The integral of f(x) = F(x), your limits are [a,b]. Solve: F(b) - F(a). The FTC, second part, says that if f is a continuous real valued function of [a,b] then the integral from a to b of f(x)= F(b) - F(a) where F is any antiderivative of f, that is, a function such that F'(x) = f(x). Example: Evaluate the integral form -2 to 3 of x^2. The integral form -2 to 3 of x^2 = F(-2) - F(3) = -2^3/3 - 3^3/3 = -8/3 - 27/3 = -35/3
What is the integral of the square root of x?
The general form is (2/3)*x^(3/2) + C
