What is the integral of (3sec^2(x)) ?

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

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integral of (3sec^2(x))

\int (3 sec^{2} (x)) d x

3 tan (x) + C

Solution steps

\int 3 sec^{2} (x) d x

Take the constant out:

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

= 3 \cdot \int sec^{2} (x) d x

Use the common integral:

\int sec^{2} (x) d x = tan (x)

= 3 tan (x)

Add a constant to the solution

= 3 tan (x) + C

\frac{\partial}{\partial y} (- 3 x e^{3 x y})

x \to 8 lim (1)

\frac{d}{d x} (- π)

\int (sec (5 x) + csc (5 x))^{2} d x

\int \frac{3 x ^{2} + 15 x}{( x - 1 ) ^{2} ( x + 2 )} d x