Math

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1. Evaluate the indefinite integral
([6x^2 + 12x^(3/2) +4x+9]/sqrt x)dx.

Answer = + C

2. Evaluate the indefinite integral
(12sin x+4tan x)dx.

Answer = + C

3. Evaluate the indefinite integral.
(x^7)e^(x^8)dx.

Answer = + C

Thank you for helping.

  • Math -

    ∫(6x^2 + 12x^(3/2) +4x+9]/√x)
    = ∫ 6x^(3/2) + 12x + 4x^(1/2) + 9x^(-1/2) dx
    = (12/5)x^(5/2) = 6x^2 + (8/3)x^(3/2) + 18x^(1/2) + c

    ∫ (12sinx + 4tanx) dx
    = ∫( 12sinx + 4 sinx/cosx) dx
    = -12cosx - 4ln(cosx) + c

    ∫ (x^7) e^(x^8) dx
    = (1/8) e^(x^8) + c

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