What is the integral of 1 (sec(x)) ?

The integral of 1 (sec(x)) is dln|tan(x)+sec(x)|+C

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integral of 1 (sec(x))

\int \frac{d}{1} (sec (x)) d x

d ln ∣ tan (x) + sec (x) ∣ + C

Solution steps

\int \frac{d}{1} sec (x) d x

Take the constant out:

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

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

Use the common integral:

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

= d ln ∣ tan (x) + sec (x) ∣

Add a constant to the solution

= d ln ∣ tan (x) + sec (x) ∣ + C

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\int x^{2} 3 x^{3} + 2 d x

What is the integral of 1 (sec(x)) ?
The integral of 1 (sec(x)) is dln|tan(x)+sec(x)|+C