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Popular >

integral of [te^t]

Solution

\int [t 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

integral of (e^{2x}+1)(e^{2x}-1)

\int (e^{2 x} + 1) (e^{2 x} - 1) d x

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

\int \frac{4 x ^{4} + 3 x ^{3} - 2 x}{x} d x

integral of (3x+7)/(x^2+2x-15)

\int \frac{3 x + 7}{x ^{2} + 2 x - 15} d x

integral of tan^2(x)sec^5(x)

\int tan^{2} (x) sec^{5} (x) d x

integral of (e^{2x}+1)^2

\int (e^{2 x} + 1)^{2} d x

Frequently Asked Questions (FAQ)

What is the integral of [te^t] ?
The integral of [te^t] is e^tt-e^t+C