What is the integral of tan^3(x ?

The integral of tan^3(x is (x^2tan^3(d))/2+C

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integral of tan^3(x

\int tan^{3} (d) x d x

\frac{x ^{2} tan ^{3} ( d )}{2} + C

Solution steps

\int tan^{3} (d) x d x

Take the constant out:

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

= tan^{3} (d) \cdot \int x d x

Apply the Power Rule

: \frac{x ^{2}}{2}

= tan^{3} (d) \frac{x ^{2}}{2}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{x ^{2} tan ^{3} ( d )}{2}

Add a constant to the solution

= \frac{x ^{2} tan ^{3} ( d )}{2} + C

\frac{d}{d θ} (r (θ) cos (θ))

3 x + y - 2 + y^{^{'}} (x - 1) = 0

\int_{1}^{2} π (2 - \frac{1}{2} x)^{2} d x

x = f x x^{3} - 4 x, (- 2, 0)

x \to 10 - lim (\frac{9}{x - 10})