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Popular >

integral of e^x*x

Solution

\int e^{x} \cdot 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

derivative of (216)/(x^2+36)derivative of

\frac{216}{x ^{2} + 36}

integral of ra^r

\int r a^{r} d r

integral of (x+1)^5

\int (x + 1)^{5} d x

derivative of [x+(x+sin^2(x)^5]^3)

\frac{d}{d x} ([x + (x + sin^{2} (x))^{5}]^{3})

integral of-(2000t)/((1+t^2))

\int - \frac{2000 t}{( 1 + t ^{2} )} d t

Frequently Asked Questions (FAQ)

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