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Solving for a Parameter in a Definite Integral

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The function $I$ is defined by $I(a)=\int_0^1 (t^2+a)\,dt$ . What is the value of $a$ for which $I(a)=4$ ?

A

$\frac{10}{3}$

B

$\frac{13}{3}$

C

$\frac{11}{3}$

D

$4$

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Question Leaderboard

Rank	User	Correct Count	Attempt Count	Total Time	Score
#1	celine80801	1	1	0m 00s	100
#2	manyab1708	2	2	3m 35s	-15
#3	kamalkaren31	1	1	2m 01s	-21
#4	tellabhinaya	0	1	1m 52s	-122

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