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NDA2016MathematicsDefinite IntegrationActual

What is ₁^3 |1- x ^4 | dx equal to?

Options

  1. A-232 / 5
  2. B-116 / 5
  3. C116 / 5
  4. D232 / 5

Correct answer

D. 232 / 5

Step-by-step solution

aligned & I= ₁^3 |1-x^4 | d x & I= ₁^3- (1-x^4 ) d x ( |x|= array cc x, & x 0 -x, & x 0 array ) . & I= ₁^3 (x^4-1 ) d x I= [ x^5 5 -x ]₁^3 & I= ( 3^5 5 -3 )- ( 1^5 5 -1 ) I= 232 5 aligned

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