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

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

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integral of tan(g)(x)

\int tan (g) (x) d x

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

Solution steps

\int tan (g) x d x

Take the constant out:

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

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

Apply the Power Rule

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

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

Simplify

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

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

Add a constant to the solution

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

\int cosh (t) d t

\frac{x + 5}{x + 1}

\int 8 x^{3} + 5 d x

y^{^{'}} + \frac{1}{2} y = 8

\int \frac{3 x ^{2} - 2}{( x ^{3} - 2 x ) ^{7}} d x

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