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Question
Evaluate:
`int_0^1 |2x + 1|dx`
Solution
`int_0^1 |2x + 1|dx`
= `int_0^1 2x + 1 dx` ...`{{:("For" 0 < x < 1),(2x + 1 > 0),(∴ |2x + 1| = 2x + 1):}`
= `[2 x^2/2 + x]_0^1`
= `[x^2 + x]_0^1`
= (1 + 1) – (0 + 0)
= 2
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