- #1
relativitydude
- 70
- 0
Integral of exp(x)*sqrt( 5 - cos(x))
Integral of exp(x)*sqrt(5-cos(x)) | Hard
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Homework Help Overview
The discussion revolves around the integral of the function exp(x) multiplied by the square root of (5 - cos(x)), which falls under the subject area of calculus, specifically integration techniques.
Discussion Character
- Exploratory, Conceptual clarification, Mathematical reasoning
Approaches and Questions Raised
- Participants question whether the cosine in the integral is standard or hyperbolic. Suggestions include manipulating the expression by substituting 5 - cos(x) with x^2 and taking logarithms, as well as considering integration by parts.
Discussion Status
The discussion is active with various approaches being proposed. Participants are exploring different interpretations of the integral and suggesting methods without reaching a consensus on a specific solution.
Contextual Notes
There may be ambiguity regarding the type of cosine function involved, which could affect the approach to the integral. Additionally, the playful suggestion to substitute and take logarithms indicates a creative exploration of the problem rather than a straightforward method.
- #2
Tide
Science Advisor
Homework Helper
- 3,072
- 0
Is that a cosine or a hyperbolic cosine?
- #3
logicalman
- 22
- 0
Maybe you should try:
[tex]5-cosx = x^2[/tex]
then take "log" on both sides and proceed from there.
[tex]5-cosx = x^2[/tex]
then take "log" on both sides and proceed from there.
- #4
spacetime
- 119
- 2
Try integrating by parts.
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