Question

What are improper integrals?

Applications of integrals
ANSWERED
asked 2020-11-08
What are improper integrals?

Answers (1)

2020-11-09
Step 1
Write the definition of the improper integrals.
Improper integrals are definite integrals that cover an unbounded area.
For example,
\(\displaystyle\int{\left\lbrace{1}\right\rbrace}^{{\propto}}{\frac{{{1}}}{{{x}^{{{2}}}}}}{\left.{d}{x}\right.}\)
Step 2
Now, solve the above integral.
\(\displaystyle{\int_{{{1}}}^{{\propto}}}{\frac{{{1}}}{{{x}^{{{2}}}}}}{\left.{d}{x}\right.}={{\left[-{\frac{{{1}}}{{{x}}}}\right]}_{{{1}}}^{{\propto}}}\)
=0-(-1)
=1
Hence.
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