Inf Div
Improper Integrals!?
Determine if conv, or div, and if conv, assessment. Text as will INF INF x ^ 6 * e ^ (-x ^ 7) Help DX!
∫ (x =- ∞ ∞ ..) x ^ 6 e ^ (x ^ 7) u dx = x ^ 7 = 7x ^ 6 dx = (1 / 7) ∫ (x =- ∞ ∞ ..) E ^ (u) dx = (1 / 7) e ^ u (x =- ∞ ∞ ..) = (1 / 7) e ^ (x ^ 7) (x =- ∞ ∞ ..) = lim (x → ∞) (1 / 7) e ^ (x ^ 7) - lim (x → - ∞) (1 / 7) e ^ (x ^ 7) = ∞ - ∞ = 0 the integral diverges.
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