Mathematics · 2021
JEE Main · 24 February 2021, Shift 1 · Q87
If ∫_- a^a (|x|+|x-2|) d x=22,( a >2) and [x] denotes the greatest integer ≤ x, then ∫_a^- a (x+[x]) d x is equal to \ \ \ \.
If $\displaystyle \int_{-\mathrm{a}}^{\mathrm{a}}(|x|+|x-2|) \mathrm{d} x=22,(\mathrm{a}>2)$ and $\displaystyle [x]$ denotes the greatest integer $\displaystyle \leq x$, then $\displaystyle \int_{\mathbf{a}}^{-\mathbf{a}}(x+[x]) \mathrm{d} x$ is equal to \_\_\_\_.
Official answer
3
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JEE Main 2021 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.