Integral of sec(x)tan(x) dx

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 |  sec(x)*tan(x) dx
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0

$$\int\limits_{0}^{1} \tan{\left(x \right)} \sec{\left(x \right)}\, dx$$

Simplify

Detail solution

The integral of secant times tangent is secant:

$\int \tan{\left(x \right)} \sec{\left(x \right)}\, dx = \sec{\left(x \right)}$
Add the constant of integration:

$\sec{\left(x \right)}+ \mathrm{constant}$

The answer is:

$\sec{\left(x \right)}+ \mathrm{constant}$

The answer (Indefinite) [src]

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 | sec(x)*tan(x) dx = C + sec(x)
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$${{1}\over{\cos x}}$$

Simplify

The graph

Plot the graph f(x)

The answer [src]

       1   
-1 + ------
     cos(1)

$${{1}\over{\cos 1}}-1$$

       1   
-1 + ------
     cos(1)

$$-1 + \frac{1}{\cos{\left(1 \right)}}$$

Simplify

Numerical answer [src]

0.850815717680926

0.850815717680926

The graph

Use the examples entering the upper and lower limits of integration.