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Integrate the function $\csc\left(x\right)$ from 0 to $1$

Step-by-step Solution

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Final Answer

The integral diverges.

Step-by-step Solution

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

$\left[-\ln\left(\csc\left(x\right)+\cot\left(x\right)\right)\right]_{0}^{1}$

Learn how to solve definite integrals problems step by step online.

$\left[-\ln\left(\csc\left(x\right)+\cot\left(x\right)\right)\right]_{0}^{1}$

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Learn how to solve definite integrals problems step by step online. Integrate the function csc(x) from 0 to 1. The integral of \csc(x) is -\ln(\csc(x)+\cot(x)). Replace the integral's limit by a finite value. Evaluate the definite integral. Simplify the expression inside the integral.

Final Answer

The integral diverges.

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

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Function Plot

Plotting: $\csc\left(x\right)$

Main Topic: Definite Integrals

Given a function f(x) and the interval [a,b], the definite integral is equal to the area that is bounded by the graph of f(x), the x-axis and the vertical lines x=a and x=b

Used Formulas

1. See formulas

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