Integral of tanxsecx dx

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

Integral(tan(x)*sec(x), (x, 0, 1))

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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 | tan(x)*sec(x) dx = C + sec(x)
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\int \tan{\left(x \right)} \sec{\left(x \right)}\, dx = C + \sec{\left(x \right)}

Simplify

The graph

Plot the graph f(x)

The answer [src]

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

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

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

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

-1 + 1/cos(1)

Numerical answer [src]

0.850815717680926

0.850815717680926

The graph

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