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int_(0)^(a) |x-1|dx |
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Answer» Solution :`" Let I "= int_(0)^(4) |X-1|dx` `:. I= int_(0)^(1) |x-1|dx+INT _(1)^(4) |x-1|dx` `=int_(0)^(1) (1-x)dx+ int_(1)^(4) (x-1) dx` `=[x-(x^(2))/(2)]_(0)^(1) +[(x^(2))/(2)-x]_(1)^(4)` `=(1-(1)/(2))-0+((4^(2))/(2)-x)-((1)/(2)-1)` `=(1)/(2)+4+(1)/(2)=5` |
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