What is the integral of tan(2)(x) ?

The integral of tan(2)(x) is 1/2 tan(2)x^2+C

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integral of tan(2)(x)

\int tan (2) (x) d x

\frac{1}{2} tan (2) x^{2} + C

Solution steps

\int tan (2) x d x

Take the constant out:

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

= tan (2) \cdot \int x d x

Apply the Power Rule

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

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

Simplify

tan (2) \frac{x ^{2}}{2} : \frac{1}{2} tan (2) x^{2}

= \frac{1}{2} tan (2) x^{2}

Add a constant to the solution

= \frac{1}{2} tan (2) x^{2} + C

\int x 2 x^{2} + 7 d x

\frac{\partial}{\partial t} (2 s t)

f (t) = 5 t^{2} + 31 t + 100

- \frac{3 x}{y}

f (x) = x^{2} + x - 1

What is the integral of tan(2)(x) ?
The integral of tan(2)(x) is 1/2 tan(2)x^2+C