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Popular >

integral of 1+tan(x)

Solution

\int 1 + tan (x) d x

Solution

x - ln ∣ cos (x) ∣ + C

Solution steps

\int 1 + tan (x) d x

Apply the Sum Rule:

\int f (x) \pm g (x) d x = \int f (x) d x \pm \int g (x) d x

= \int 1 d x + \int tan (x) d x

\int 1 d x = x

\int tan (x) d x = - ln ∣ cos (x) ∣

= x - ln ∣ cos (x) ∣

Add a constant to the solution

= x - ln ∣ cos (x) ∣ + C

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\frac{d}{d x} (\frac{1}{( x ^{2} + 1 ) ^{4}})

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

Frequently Asked Questions (FAQ)

What is the integral of 1+tan(x) ?
The integral of 1+tan(x) is x-ln|cos(x)|+C