What is the integral of 5sec(x) ?

The integral of 5sec(x) is 5ln|tan(x)+sec(x)|+C

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integral of 5sec(x)

\int 5 sec (x) d x

5 ln ∣ tan (x) + sec (x) ∣ + C

Solution steps

\int 5 sec (x) d x

Take the constant out:

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

= 5 \cdot \int sec (x) d x

Use the common integral:

\int sec (x) d x = ln ∣ tan (x) + sec (x) ∣

= 5 ln ∣ tan (x) + sec (x) ∣

Add a constant to the solution

= 5 ln ∣ tan (x) + sec (x) ∣ + C

\frac{\partial}{\partial x} (25 - x^{2} - y^{2})

\int_{0}^{\infty} y e^{- y} d y

\frac{d}{d x} (ln (\frac{5 - x}{5 + x}))

\int x^{2} (11 + x^{3}) d x

\int_{5}^{6} 12 arccot (x) d x

What is the integral of 5sec(x) ?
The integral of 5sec(x) is 5ln|tan(x)+sec(x)|+C