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Name: 1 Class: Date: cos 5x DX by making the substitution u 5x. Evaluate 1 5 cos 5x + C a. sin 5x + C. b. sin 5x + cos 5x + C e. 1 5 sin 5x + C d. cos 5x + C Problem code: stet. 05.05.01 m 2 x Evaluate

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How to fill out cos 5x dx by

How to fill out cos 5x dx by:

01

First, identify the integral given as cos 5x dx.

02

Recognize that this integral represents the antiderivative of the function cos 5x with respect to x.

03

Apply the power rule of integration, which states that the integral of cos ax dx is equal to (1/a) sin ax + C, where C is the constant of integration.

04

Using the power rule, we can rewrite the integral as (1/5) sin 5x + C.

05

Therefore, the answer to filling out cos 5x dx by is (1/5) sin 5x + C, where C represents the constant of integration.

Who needs cos 5x dx by:

01

Students studying calculus or mathematics may encounter the need to solve integrals like cos 5x dx as part of their coursework.

02

Researchers or professionals in fields such as physics or engineering may come across similar integrals when analyzing waveforms or solving differential equations.

03

Anyone interested in understanding and applying the principles of calculus or integration may find the need to calculate integrals like cos 5x dx in various contexts.

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