# Three Unknowns in One Line?

Calculus Level 4

The equation $$\displaystyle \lim_{x \to 0} \int_0^x \frac {t^2 \mathrm d t}{(x- \sin x) \sqrt{a+t} } = 1$$ is true for a constant $$a$$. What is the value of $$a$$?

×