What is the integral of (e^yx^2)/y ?

The integral of (e^yx^2)/y is x^2\Ei(y)+C

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integral of (e^yx^2)/y

\int \frac{e ^{y} x ^{2}}{y}

x^{2} Ei (y) + C

Solution steps

\int \frac{e ^{y} x ^{2}}{y} d y

Take the constant out:

\int a \cdot f (x) d x = a \cdot \int f (x) d x

= x^{2} \cdot \int \frac{e ^{y}}{y} d y

Use the nonelementary integral:

\int \frac{e ^{x}}{x} d x = Ei (x)

= x^{2} Ei (y)

Add a constant to the solution

= x^{2} Ei (y) + C

\int (x^{2} + 1 + x)^{4} d x

\int \frac{cos ( x )}{sin ( x ) ( 1 - sin ( x ) )} d x

\frac{d}{d t} (\frac{v ( t )}{t})

cos^{3} (sin (2 x^{4} - x))

y = x^{2} - 7, y = 9