Anonymous
Anonymous asked in Science & MathematicsMathematics · 8 years ago

Calculus math problem help? Evaluate?

Evaluate.

∫ x2/ 5x3 + 9 (dx)

1 Answer

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  • Hemant
    Lv 7
    8 years ago
    Best Answer

    ............. ∫ [ x² / ( 5x³ + 9 ) ] dx

    = (1/15) ∫ [ 1 / ( 5x³ + 9 ) ] · 15x² dx

    = (1/15) ∫ ( 1 / u ) du, ...... u = 5x³ + 9, du = 15x² dx

    = (1/15)· ln |u| + C

    = (1/15)· ln | 5x³ + 9 | + C ...................... Ans.

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