AP Calculus ABeasymcq1 pt

Which of the following definite integrals fails to exist?

A.011xdx\int_0^1 \frac{1}{x}\,dx
B.01xdx\int_0^1 x\,dx
C.01sinxdx\int_0^1 \sin x\,dx
D.01exdx\int_0^1 e^x\,dx

Explanation

Core Concept

The integrand 1x\frac{1}{x} is unbounded near x=0x=0, so the definite integral does not exist.

Correct Answer

A011xdx\int_0^1 \frac{1}{x}\,dx

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