Integrate the function $\frac{1}{x^2}$ from $-1$ to 0

Step-by-step Solution

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Final answer to the problem

The integral diverges.

Step-by-step Solution

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  • Integrate by partial fractions
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  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Integrate using trigonometric identities
  • Integrate using basic integrals
  • Product of Binomials with Common Term
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Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$

Learn how to solve one-variable linear equations problems step by step online.

$\int_{-1}^{0} x^{-2}dx$

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Learn how to solve one-variable linear equations problems step by step online. Integrate the function 1/(x^2) from -1 to 0. Rewrite the exponent using the power rule \frac{a^m}{a^n}=a^{m-n}, where in this case m=0. Apply the power rule for integration, \displaystyle\int x^n dx=\frac{x^{n+1}}{n+1}, where n represents a number or constant function, such as -2. Simplify the expression. Replace the integral's limit by a finite value.

Final answer to the problem

The integral diverges.

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Function Plot

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

Main Topic: One-variable linear equations

Algebraic equations that have just one variable.

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