Step-by-step Solution

Solve the trigonometric integral $\int\csc\left(x\right)dx$

Go!
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Final Answer

$-\ln\left(\csc\left(x\right)+\cot\left(x\right)\right)+C_0$

Step-by-step Solution

Problem to solve:

$\int\csc\left(x\right)dx$

Solving method

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The integral of $\csc(x)$ is $-\ln(\csc(x)+\cot(x))$

$-\ln\left(\csc\left(x\right)+\cot\left(x\right)\right)$
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As the integral that we are solving is an indefinite integral, when we finish integrating we must add the constant of integration $C$

$-\ln\left(\csc\left(x\right)+\cot\left(x\right)\right)+C_0$

Final Answer

$-\ln\left(\csc\left(x\right)+\cot\left(x\right)\right)+C_0$
$\int\csc\left(x\right)dx$

Related Formulas:

1. See formulas

Time to solve it:

~ 0.02 s