- #1
abhaiitg
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Homework Statement
integerate e^(8x^2)
Homework Equations
The Attempt at a Solution
its seems it is not having closed integeral form.
To solve an integral with e^(8x^2), you can use the substitution method. Let u = 8x^2 and then use the power rule to find the integral of e^u. After integrating, substitute back in 8x^2 for u to get the final solution.
The steps for integrating e^(8x^2) are:
Yes, you can use integration by parts to solve e^(8x^2), but it may be more complicated and time-consuming compared to using the substitution method.
Yes, there is a general formula for integrating e^(ax^2). It is:
∫e^(ax^2)dx = √(π/a) * e^(ax^2) * erf(√a * x) + C
where erf is the error function.
Yes, if the exponent is a negative number, the integral becomes a simple inverse function. For example, ∫ e^(-8x^2) dx = √(π/8) * erfc(√8 * x) + C, where erfc is the complementary error function.