Answered: 11). Use the Integral Test to…

11). Use the Integral Test to determine whether the sum converges. ∞ n = 1 6n 1 + n4 Evaluate the following integral. ∞ 6x 1 + x4 dx 1 Since the integral finite, . please show step by step

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.3: Geometric Sequences

Problem 50E

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Question

11).

Use the Integral Test to determine whether the sum converges.

∞

n = 1

1 + n⁴

Evaluate the following integral.

∞

1 + x⁴

Since the integral finite, .

please show step by step

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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