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Popular >

integral of 1+tan(x)

Solution

integral

1 + tan (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

Graph

Popular Examples

integral of 3x^2+8x+6 integral

3 x^{2} + 8 x + 6

integral of x^2+2 integral

x^{2} + 2

integral of e^x*sin^2(x)integral

e^{x} \cdot sin^{2} (x)

integral of 1/r integral

\frac{1}{r}

integral of x^2-1 integral

x^{2} - 1

Frequently Asked Questions (FAQ)

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