12th Class Mathematics Application of integrals

  • question_answer 28) Find the area bounded by the curves {(x, y) ; } and y = |x|}

    Answer:

    Let R = {(x, y) :  and y = |x|}       R1 = {(x, y) : }                   For R1 consider y = x2                      ? (1)                                    Put (0, 1) in  which is true.        inside area of the parabola.       For R2         y = |x|               ? (2)             By inspection, point of intersection are (?1, 1), (0, 0) and (1, 1)                Required area = Shaded area                                        

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