Anonymous
Anonymous asked in Science & MathematicsMathematics · 8 years ago

Calculus math problem help? Evaluate?

Evaluate.

∫ te-7t^2 dt

please provide steps so I know how to do it

2 Answers

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  • 8 years ago
    Best Answer

    Its of the form

    ∫ e^u du

    You should be able to do it from there...

  • 8 years ago

    Let u = -7t^2

    du = -14t dt ==> tdt = -(1/14)du

    ∫ te-7t^2 dt = ∫ (e^u)*(-1/14)du = (-1/14)∫(e^u)du

    = (-1/14) e^u + C

    sub backc u = -7t^2

    ...= (-1/14)e^(-7t^2) + C

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