Calculus Examples

$\frac{d r}{d θ} = 3 π$

Step 1

Rewrite the equation.

$d r = 3 π d θ$

Step 2

Integrate both sides.

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Step 2.1

Set up an integral on each side.

$\int d r = \int 3 π d θ$

Step 2.2

Apply the constant rule.

$r + C_{1} = \int 3 π d θ$

Step 2.3

Apply the constant rule.

$r + C_{1} = 3 π θ + C_{2}$

Step 2.4

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

$r = 3 π θ + K$