Final answer to the problem
$2\cdot \left(\frac{1}{2}\right)\sqrt{\pi }\mathrm{erf}\left(x\right)+C_0$
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Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
- Integrate by trigonometric substitution
- Weierstrass Substitution
- Integrate using trigonometric identities
- Integrate using basic integrals
- Product of Binomials with Common Term
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1
The integral of a function times a constant ($2$) is equal to the constant times the integral of the function
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$2\int e^{-x^2}dx$
Learn how to solve problems step by step online. Find the integral int(2*pie^(-x^2))dx. The integral of a function times a constant (2) is equal to the constant times the integral of the function. Rewrite the function e^{-x^2} as it's representation in Maclaurin series expansion. The power of a product is equal to the product of it's factors raised to the same power. Simplify \left(x^2\right)^n using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals n.
Final answer to the problem
$2\cdot \left(\frac{1}{2}\right)\sqrt{\pi }\mathrm{erf}\left(x\right)+C_0$
