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

x \to 5 lim (2 x^{3} - 3 x + 8)

x^{2} + x, at x = - 4

\int x^{2} 6 x + 8 d x

\int arccos (d) x d x

x \to 3 π - lim (1 + csc (x))