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- Determine whether the improper integral ∞∫−∞dxx2+2x+8 converges or diverges?determine whether the given integral converges or diverges. 21.∫∞1t−2et dt4. Determine whether the improper integral converges and, if so, evaluate it. (If the quantity diverges, enter DIVERGES.) ∞ 04x dx(3 + x2)2 please show step by step clearly.
- a. Evaluate the integral and state if it converges or diverges ∞∫0 ex / (1+e2x)5. Determine whether the improper integral converges and, if so, evaluate it. ∞ 05x dx(3 + x2)2 PLEASE SHOW STEP BY STEP CLEARLY5. Determine whether the improper integral converges and, if so, evaluate it. ∞ 05x dx(3 + x2)2 please show step by step clealrly.
- Decide whether the given integral converges or diverges. +∞ 3 x1.5 dx 1Use the definition of the convergence of an improper integral to determine whether the followingintegral converges or diverges:(a). ∫infinity 3 dx/(x-3)^(3/2) b)∫1 0 dx/xsqrtxUse the comparison theorem to determine whether the integral is convergent or divergent. ∫ ∞ 1 2+e-x/x dx.