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Popular >

integral of (e^xx)

Solution

\int (e^{x} x) d x

Solution

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

Solution steps

\int e^{x} x d x

Apply Integration By Parts

: e^{x} x - \int e^{x} d x

= e^{x} x - \int e^{x} d x

\int e^{x} d x = e^{x}

= e^{x} x - e^{x}

Add a constant to the solution

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

Popular Examples

limit as x approaches infinity of ((e^{2x}-8-19x))/((19x)^2)

x \to \infty lim (\frac{( e ^{2 x} - 8 - 19 x )}{( 19 x ) ^{2}})

y^{^{''}} + 49 y = 0

integral of 64sin^2(x)

\int 64 sin^{2} (x) d x

tangent of f(x)=x^3-11x,\at x=3 tangent of

f (x) = x^{3} - 11 x, at x = 3

sum from n=2 to infinity of (3/4)^n

n = 2 \sum \infty (\frac{3}{4})^{n}

Frequently Asked Questions (FAQ)

What is the integral of (e^xx) ?
The integral of (e^xx) is e^xx-e^x+C