What is the integral from-2 to 1 of 2x ?

The integral from-2 to 1 of 2x is -3

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integral from-2 to 1 of 2x

\int_{- 2}^{1} 2 x d x

- 3

Solution steps

\int_{- 2}^{1} 2 x d x

Take the constant out:

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

= 2 \cdot \int_{- 2}^{1} x d x

Apply the Power Rule

: [\frac{x ^{2}}{2}]_{- 2}^{1}

= 2 [\frac{x ^{2}}{2}]_{- 2}^{1}

Compute the boundaries:

- \frac{3}{2}

= 2 (- \frac{3}{2})

Simplify

= - 3

\frac{d y}{d x} = 5 x y

\int \frac{- 46 x + 158}{( x + 2 ) ( x - 3 ) ^{2}} d x

2 3 x

9 y^{^{''}} + y^{^{'}} = 0

\frac{\partial}{\partial x} (2 x e^{- 3 x y})