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amin
amin asked in Science & MathematicsMathematics · 4 years ago

Find a function F(x) such that F '(x) = sin(x^2) and F(1) = 2.?

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  • Morningfox
    Lv 7
    4 years ago
    Favorite Answer

    That would be F(x) = c1 + sqrt(pi/2) S[ sqrt(2/pi) x ],

    with S = Fresnel S integral.

    I leave it up to you to figure the value of c1.

    Source(s): https://en.wikipedia.org/wiki/Fresnel_integral
  • ted s
    Lv 7
    4 years ago

    F(x) = integral over t in [ 1 , x ] of { sin (t²) dt } + 2....no " elementary " function exists

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