Determine whether each improper integral is convergent or divergent, and find its value if it is
convergent.
∫
0
∞
4
e
−
4
x
d
x
With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.
Determine whether each integral is convergent or divergent.
to
(ii)
4
dx
dr
(x+6) A
Determine whether the integral is divergent or convergent. If it is convergent,
evaluate it. If it diverges to infinity, state your answer as "oo" (without the quotation
marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges
without being infinity or negative infinity, state your answer as "DNE".
[((x − 5)² + 4) dx
Determine whether the integral is divergent or convergent. If it is convergent,
evaluate it. If it diverges to infinity, state your answer as "oo" (without the quotation
marks). If it diverges to negative infinity, state your answer as "-oo". If it diverges
without being infinity or negative infinity, state your answer as "DNE".
fo ((x − 4)² – 1) dx
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