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Popular >

integral of θe^θ

Solution

\int θ e^{θ} d θ

Solution

e^{θ} θ - e^{θ} + C

Solution steps

\int θ e^{θ} d θ

Apply Integration By Parts

: e^{θ} θ - \int e^{θ} d θ

= e^{θ} θ - \int e^{θ} d θ

\int e^{θ} d θ = e^{θ}

= e^{θ} θ - e^{θ}

Add a constant to the solution

= e^{θ} θ - e^{θ} + C

Popular Examples

integral of x^2(5x+2x^3)^8

\int x^{2} (5 x + 2 x^{3})^{8} d x

integral of 4/(x+7)

\int \frac{4}{x + 7} d x

integral of (x^2+1)*sin(x)

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

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

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

integral of 1/(x^2-13x+42)

\int \frac{1}{x ^{2} - 13 x + 42} d x

Frequently Asked Questions (FAQ)

What is the integral of θe^θ ?
The integral of θe^θ is e^θθ-e^θ+C