# -6.r.10 evaluate int with u v subst

• MHB
• karush
In summary, the phrase "-6.r.10 evaluate int with u v subst" represents a mathematical expression where the "r" stands for "root", and the "int" indicates that the expression should be evaluated as an integer. To evaluate an expression with scientific notation, one must understand the meaning of each component, including the base, root, and variables. The purpose of using scientific notation in mathematical expressions is to represent very large or very small numbers in a more manageable format. An example of evaluating an expression with this notation would be "-6.2.10 evaluate int with 3 4 subst", where the base is -6, the root is 2, and the variables u and v are substituted with the values 3
karush
Gold Member
MHB
Evaluate
$\displaystyle\int_{0}^{\pi/8}\dfrac{\sec^2(2x)}{2+\tan\left({2x}\right)}$
ok not sue if this u v is correct or maybe better...
$u=\dfrac{\tan\left(2x\right)}{\sqrt{2}}\therefore du=\sqrt{2}\sec^2(2x) dx$

one can use straight up substitution …

let $u = 2+\tan(2x) \implies du = 2\sec^2(2x) \, dx$

$\displaystyle \dfrac{1}{2} \int_2^3 \dfrac{du}{u} = \ln\sqrt{\dfrac{3}{2}}$

https://dl.orangedox.com/GXEVNm73NxaGC9F7Cy

## 1. What does "-6.r.10 evaluate int with u v subst" mean?

The term "-6.r.10 evaluate int with u v subst" refers to a mathematical expression that involves substituting values for variables u and v, and then evaluating the resulting expression.

## 2. How do you evaluate "-6.r.10 evaluate int with u v subst"?

To evaluate this expression, you would first substitute values for the variables u and v, and then use the order of operations to simplify the expression. Once simplified, you can then solve for the resulting value.

## 3. What is the purpose of evaluating "-6.r.10 evaluate int with u v subst"?

The purpose of evaluating this expression is to determine the numerical value of the expression, which can then be used in further calculations or comparisons.

## 4. Can you provide an example of "-6.r.10 evaluate int with u v subst"?

Sure, for example, if the expression is "-6 + (r * 10) + u - v", and we substitute u = 3 and v = 2, the expression becomes "-6 + (r * 10) + 3 - 2". This can then be simplified to "r * 10 + 1", and the final value will depend on the value of r.

## 5. What are some common mistakes when evaluating "-6.r.10 evaluate int with u v subst"?

Some common mistakes when evaluating this expression include forgetting to substitute values for the variables, not following the correct order of operations, and making errors in simplifying the expression. It is important to carefully follow the steps and check your work to avoid these mistakes.

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