Teaching MPPSC Assistant Professor Mock Test Series 2025 Engineering Mathematics Calculus Definite Integrals
If f(x) = x|x|, then for any real numbers a and b with a < b, the value of\({_a\int{^b}}\) f(x)dx equals-
1
\(\frac{1}{3}\) (a3 – b3)
2
\(\frac{1}{3}\)(|b|3 – |a|3)
3
\(\frac{1}{3}\) (a3 + b3)
4
\(\frac{1}{3}\)(|b3 – a3|)