# Inverse integration

Calculus Level 4

Let $$f(x) = \displaystyle \int_2^x \dfrac{t}{\sqrt{1 + t^4}}\text{dt}$$ and g be the inverse of $$f$$.
Then the value of $$g'(0)$$ is

Clarification:

• $$f'(x)$$ means first derivative of $$f(x)$$ with respect to x.
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