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Popular >

integral of ye^t-2t

Solution

\int y e^{t} - 2 t d t

Solution

- t^{2} + y e^{t} + C

Solution steps

\int y e^{t} - 2 t d t

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= - \int 2 t d t + \int y e^{t} d t

\int 2 t d t = t^{2}

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

= - t^{2} + y e^{t}

Add a constant to the solution

= - t^{2} + y e^{t} + C

Graph

Popular Examples

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\int sin (\frac{2}{3} x) d x

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\int 1 + y^{2} 2 y d y

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integral of (e^x+e^{3x})/(e^x)

\int \frac{e ^{x} + e ^{3 x}}{e ^{x}} d x

integral of 2xy+x^2-1

\int 2 x y + x^{2} - 1 d y

Frequently Asked Questions (FAQ)

What is the integral of ye^t-2t ?
The integral of ye^t-2t is -t^2+ye^t+C