Definite Integration Question 61

Question 61

  1. The value of 22|1x2|dx is … .

(1989, 2M)

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Solution:

  1. 22|1x2|dx

=21(x21)dx+11(1x2)dx+12(x21)dx

$=\frac{x^{3}}{3}-x_{-2}^{-1}+x-{\frac{x^{3}}{3}}{-1}^{1}+\frac{x^{3}}{3}-x{1}^{2}$

=13+1+832+113+113+83213+1

=4



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