Solving for a Parameter in a Definite Integral
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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