What is the integral of 1/(cos(t)) ?

The integral of 1/(cos(t)) is ln|tan(t)+sec(t)|+C

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integral of 1/(cos(t))

\int \frac{1}{cos ( t )} d t

ln ∣ tan (t) + sec (t) ∣ + C

Solution steps

\int \frac{1}{cos ( t )} d t

Rewrite using trig identities

= \int sec (t) d t

Use the common integral:

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

= ln ∣ tan (t) + sec (t) ∣

Add a constant to the solution

= ln ∣ tan (t) + sec (t) ∣ + C

y = 6, y = x^{- 2} + x^{2}

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x^{^{''}} + x = 0

2 x^{2} + 1

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

What is the integral of 1/(cos(t)) ?
The integral of 1/(cos(t)) is ln|tan(t)+sec(t)|+C