Evaluating Improper Integrals
AP Calculus BC · Flashcards · Application
AP CALCULUS BC · FLASHCARDS
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QUESTION
Identify convergence:
∫
1
∞
1
x
d
x
\int_{1}^{\infty} \frac{1}{\sqrt{x}} \, dx
∫
1
∞
x
1
d
x
.
QUESTION
Evaluate:
\textstyle \text{∫}_{0}^{1} \frac{1}{\text{√}x} \text{dx}
.
QUESTION
Determine convergence:
∫
0
∞
e
−
x
2
d
x
\int_{0}^{\infty} e^{-x^2} \, dx
∫
0
∞
e
−
x
2
d
x
.
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ANSWER
Converges. Gaussian integral converges due to exponential decay.
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