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

Step-by-step Solution

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Final answer to the problem

The integral diverges.

Step-by-step Solution

How should I solve this problem?

  • Integrate using basic integrals
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Product of Binomials with Common Term
  • FOIL Method
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1

Applying the power rule for integration, $\displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}$, where $n$ represents a number or constant function, in this case $n=1$

$\frac{1}{2}x^2$

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

$\frac{1}{2}x^2$

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Learn how to solve definite integrals problems step by step online. Integrate the function x from 1 to infinity. Applying the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, in this case n=1. Add the initial limits of integration. Replace the integral's limit by a finite value. Evaluate the definite integral.

Final answer to the problem

The integral diverges.

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Function Plot

Plotting: $x$

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

See formulas (1)

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