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Popular >

integral of 1^{-x^2}

Solution

\int 1 d e^{- x^{2}}

Solution

e^{- x^{2}} + C

Solution steps

\int 1 d e^{- x^{2}}

Integral of a constant:

\int a d x = a x

= 1 \cdot e^{- x^{2}}

Simplify

= e^{- x^{2}}

Add a constant to the solution

= e^{- x^{2}} + C

Popular Examples

integral of sqrt(x)^2

\int x^{2} d x

integral of (x^5+3)/(x^3-4x)

\int \frac{x ^{5} + 3}{x ^{3} - 4 x} d x

integral of ((3x^2-4x+5))/((x-1)(x^2+1))

\int \frac{( 3 x ^{2} - 4 x + 5 )}{( x - 1 ) ( x ^{2} + 1 )} d x

integral of 1/(x+1+sqrt(x+1))

\int \frac{1}{x + 1 + x + 1} d x

integral of sqrt(x)-1/(x^2)

\int x - \frac{1}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral of 1^{-x^2} ?
The integral of 1^{-x^2} is e^{-x^2}+C