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Popular >

integral of t*e^t

Solution

\int t \cdot e^{t} d t

Solution

e^{t} t - e^{t} + C

Solution steps

\int t e^{t} d t

Apply Integration By Parts

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

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

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

= e^{t} t - e^{t}

Add a constant to the solution

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

Popular Examples

y^{''}-y^'+121y=11sin(11t)

y^{^{''}} - y^{^{'}} + 121 y = 11 sin (11 t)

integral of 1/(xsqrt(x-2))

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

y^{''}+4y^'+4y=e^{2x}

y^{^{''}} + 4 y^{^{'}} + 4 y = e^{2 x}

integral of 1/(x+1)

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

maclaurin xe^{x^2}maclaurin

x e^{x^{2}}

Frequently Asked Questions (FAQ)

What is the integral of t*e^t ?
The integral of t*e^t is e^tt-e^t+C