Final answer to the problem
The integral diverges.
Step-by-step Solution
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- Integrate by partial fractions
- Integrate by substitution
- Integrate by parts
- 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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1
Rewrite the exponent using the power rule $\frac{a^m}{a^n}=a^{m-n}$, where in this case $m=0$
$\int_{0}^{2} x^{-3}dx$
Learn how to solve definite integrals problems step by step online.
$\int_{0}^{2} x^{-3}dx$
Learn how to solve definite integrals problems step by step online. Integrate the function 1/(x^3) from 0 to 2. 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 -3. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Replace the integral's limit by a finite value.
Final answer to the problem
The integral diverges.
