APFIVE Solving for a Parameter in a Definite Integral
Let $$I(a)=\int_0^1 (t^2+a)\,dt$$. Solve for $$a$$ if $$I(a)=4$$.
A
$$\frac{13}{3}$$
B
$$4$$
C
$$\frac{10}{3}$$
D
$$\frac{11}{3}$$
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