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Int (e^(-x^2)) = Int (1 + (-x^2) + (-x^2)^2/2! + (-x^2)^3/3! + ...
= x - x^3/3 + x^5/(5*2!) - x^7/(7*3!) ...
which, if taken with limits of integration from negative infinity to infinity, solves to the square root of x, making it one of the most famous and beautiful formulas in math.
What else can I help you with?
What is the integral of e raised to x squared?
maths signs
What is x squared in parenthesis times negative 3 times x squared times y cubed in parenthesis?
if you take your time youll figure out its e=mc2
What is the integral of secant squared square root x?
tan(sqrtX) + C
What is x if x squared plus 3x equals negative 2?
x is negative 1x is negative 2
How do you integrate xe power x?
Use integration by parts. integral of xe^xdx =xe^x-integral of e^xdx. This is xe^x-e^x +C. Check by differentiating. We get x(e^x)+e^x(1)-e^x, which equals xe^x. That's it!
What is the integral of e raised to x squared?
maths signs
What is the integral of e to the negative x?
-e^(-x) or negative e to the negative x this is because you multiply the function (e) by: 1 / (the derivative of the power ... in this case: -1) e^(-x) * (1/-1) = -e^(-x) Don't forget to add your constant!
What is the integral of cosec squared x?
-cotan(x)
Integral of sec squared radical x?
integral of radical sinx
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 1 divided by x squared?
The indefinite integral of (1/x^2)*dx is -1/x+C.
What is the integral of 1 over x squared plus 1?
arctan(x)
What does x times negative x equal?
Well, honey, when you multiply x by negative x, you get negative x squared. It's like math's way of saying "two wrongs don't make a right, they make a negative." So, in this case, x times negative x equals negative x squared.
Integral of sine squared x?
.5(x-sin(x)cos(x))+c
What is the integral of the square root of x minus 1 squared?
the integral of the square-root of (x-1)2 = x2/2 - x + C
What is x squared in parenthesis times negative 3 times x squared times y cubed in parenthesis?
if you take your time youll figure out its e=mc2
What is the antiderivative of e to the x plus 17?
I'm not sure if you mean e^x + 17 or e^(x+17) so we'll do both. First, the integral of e^x + 17 because these terms are being added you can integrate them separately: integral((e^x)dx) + integral(17dx) integral of e^x is just e^x + C Integral of 17 is 17x + C, so we get: e^x + 17x + C Second, the integral of e^(x+17) we know how to integrate the form e^u, so just do a u substitution u=x+17 du=dx so we get integral((e^u)du)=e^u + C resubstitute for u and get e^(x+17) + C
