12th Class Mathematics Application of integrals

  • question_answer 17) Find the area under the given curves and given liens : (i) y = x2, x = 1, x = 2 and x - axis (ii) y = x4, x = 1, x = 5 and x –axis  

    Answer:

    (i) Given curves area       y = x2          ?. (1)   x = 1     ?.. (2)       x = 2           ? (3)    and x ? axis             For (1), y = x2             Required area = Shaded area                         (ii) Given curves are       y = x4          ?. (1)   x = 1     ?.. (2)       x = 5           ? (3)    and x ? axis       For (1), y = x4                   Required area = Shaded area                         = 625 ? 0.2 = 624.8  

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