Evaluate using formulas and rules of \int _0^2(y^2-3y+5)

Question :

int _0^2(y^2-3y+5)

\frac{20}{3}

Alternative Form

6 \frac{2}{3}

Alternative Form

6. \dot{6}

Evaluate

\int_{0}^{2} (y^{2} - 3 y + 5) d y

Evaluate the integral

\int (y^{2} - 3 y + 5) d y

Use the property of integral \int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

\int y^{2} d y + \int - 3 y d y + \int 5 d y

Evaluate the integral

More Steps

\frac{y ^{3}}{3} + \int - 3 y d y + \int 5 d y

Evaluate the integral

More Steps

\frac{y ^{3}}{3} - \frac{3 y ^{2}}{2} + \int 5 d y

Use the property of integral \int k d x = k x

\frac{y ^{3}}{3} - \frac{3 y ^{2}}{2} + 5 y

Return the limits

(\frac{y ^{3}}{3} - \frac{3 y ^{2}}{2} + 5 y)_{0}^{2}

Solution

More Steps

\frac{20}{3}

Alternative Form

6 \frac{2}{3}

Alternative Form

6. \dot{6}

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