\int^{1.5}_{0}[x^2]dx is equal to

NIFT UG 2013 Question Paper with solutions

Question : 47 of 150

Marks: +1, -0

∫↖{1.5}↙{0}[x^2]

dx is equal to

Solution:

∫↙{0}↖{15}[x^{2}]⋅dx=∫↙{0}↖{1}0.dx+∫↙{1}↖{1/2}1.dx+∫↙{√{2}}↖{1.5}2⋅dx

=0+√{2}-1+2[1.5-√{2}]

=2-√{2}

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