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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.
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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)
Integral of sine squared x?
.5(x-sin(x)cos(x))+c
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.
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
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
