Calculus Examples

$\frac{d v}{d w} = e^{6 x}$

Step 1

Rewrite the equation.

$d v = e^{6 x} d w$

Step 2

Integrate both sides.

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Step 2.1

Set up an integral on each side.

$\int d v = \int e^{6 x} d w$

Step 2.2

Apply the constant rule.

$v + C_{1} = \int e^{6 x} d w$

Step 2.3

Apply the constant rule.

$v + C_{1} = e^{6 x} w + C_{2}$

Step 2.4

Group the constant of integration on the right side as $K$ .

$v = e^{6 x} w + K$