Teaching AP DSC School Assistant 2025 Mock Test Series Mathematics Differential Calculus Applications of Derivatives
Let f (x) = \(\int_0^1\left|t x-t^2\right| d t, 0 \leq x \leq 1\), then maximum value of f (x) is
1
\(\frac{1}{3}+\frac{1}{3 \sqrt{2}}\)
2
\(\frac{1}{3}\)
3
\(\frac{1}{6}\)
4
\(\frac{1}{2}\)