Integral Problem: Help Me Integrate

  • Thread starter rishiraj20006
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    Integral
In summary, the conversation is about integrating a complex expression and potentially making a substitution to simplify the problem.
  • #1
rishiraj20006
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Homework Statement



help me integrate

Homework Equations



e^{xsinx+cosx}[x^4(cosx)^3-xsinx+cosx/x^2.(cosx)^2]dx

The Attempt at a Solution



it s to lengthy and i have still not find the form that is e^x[f(x)+f`(x)]
 
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  • #2
rishiraj20006 said:

Homework Statement



help me integrate

Homework Equations



e^{xsinx+cosx}[x^4(cosx)^3-xsinx+cosx/x^2.(cosx)^2]dx

The Attempt at a Solution



it s to lengthy and i have still not find the form that is e^x[f(x)+f`(x)]

The problem you posted is not very clear to me. Are you trying to integrate:
[tex]\int e ^ {x \sin x + \cos x} \left( \frac{x ^ 4 \cos ^ 3 x - x \sin x + \cos x}{x ^ 2 \cos ^ 2 x} \right) dx[/tex]?
You seems to be missing a dew parentheses.
Is that the problem?
 
  • #3
Perhaps the fact that you want it in the form of [itex]e^x [f(x)+f'(x)][/itex] hints you want to make a substitution u= x sin x + cos x?
 

1. What is an integral problem?

An integral problem is a mathematical problem that involves finding the area under a curve. It is a fundamental concept in calculus and is used to solve a variety of real-world problems.

2. How do I solve an integral problem?

To solve an integral problem, you need to use integration techniques such as substitution, integration by parts, or partial fractions. You also need to have a good understanding of the fundamental theorem of calculus and the properties of integrals.

3. Why do I need to learn how to integrate?

Integration is an essential tool in many fields of science and engineering. It is used to calculate areas, volumes, and other physical quantities. It is also used to solve differential equations, which are often used to model real-world phenomena.

4. What are some tips for solving integral problems?

Some tips for solving integral problems include identifying the type of integral (definite or indefinite), understanding the properties of integrals, and using appropriate integration techniques. It is also helpful to practice and review various examples to become more familiar with the process.

5. Can I use technology to solve integral problems?

Yes, you can use technology such as calculators or computer software to solve integral problems. However, it is important to have a good understanding of the concepts and techniques involved in integration before relying solely on technology.

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