MHT CET 2026 19th April Morning Shift | Definite Integration Question 10 | Mathematics

The value of $\displaystyle\int_2^4 (\{x\} + [x])\,dx =$...(where $\{x\}$ and $[x]$ are the fractional part function and the greatest integer function, respectively)

$2$

$4$

$6$

$8$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

The value of $\int_0^\pi\left|\sin ^3 x\right| \mathrm{d} x$ is

$\frac{3}{8}$

$\frac{4}{3}$

$\pi$

MHT CET 2025 5th May Evening Shift

MCQ (Single Correct Answer)

-0

$$ \int_0^1 \log (x+1) d x= $$

$\quad \log 2-1$

$\quad \log 2+1$

$\quad 2 \log 2+1$

$2 \log 2-1$

MHT CET 2025 26th April Evening Shift

MCQ (Single Correct Answer)

-0

$$ \int\limits_0^1 x\left|x-\frac{1}{2}\right| \mathrm{d} x= $$

$\frac{1}{2}$

$\frac{1}{12}$

$\frac{1}{8}$

$\frac{1}{16}$

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