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Integrate the function $1$ from $1$ to $\infty $

Step-by-step Solution

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Solution

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Final Answer

The integral diverges.

Step-by-step Solution

Problem to solve:

$\int_{1}^{\infty }1dx$

Specify the solving method

1

The integral of a constant is equal to the constant times the integral's variable

$x$

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

$x$

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Learn how to solve definite integrals problems step by step online. Integrate the function 1 from 1 to infinity. The integral of a constant is equal to the constant times the integral's variable. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite 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

Solve int(1)dx&1&infinity using partial fractionsSolve int(1)dx&1&infinity using basic integralsSolve int(1)dx&1&infinity using u-substitutionSolve int(1)dx&1&infinity using integration by partsSolve int(1)dx&1&infinity using trigonometric substitution

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Main topic:

Definite Integrals

Used formulas:

1. See formulas

Time to solve it:

~ 0.04 s

Related topics:

Definite IntegralsIntegral CalculusCalculusIntegrals of Polynomial FunctionsImproper Integrals

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