# Finding Integrals (8 Problems)

Not what you're looking for?

(See attached file for full problem description with proper symbols)

---

Answers and working for Integration questions:

1.Integrate the following functions with respect to .

(i) sin(5 - 4)

(ii) cos(3 - 2)

2. Integrate the following functions with respect to x.

(i) 4e-3x

(ii) (3 + 4x)-1

(iii) -6 .

2 - 5x

(iv) 5 - 3e4x

ex

3. Evaluate the following definite integrals.

/3

(i)  cos(2)d

0

0. 5

(ii)  sin(1.6 + 3)d

0.1

1

4. Evaluate  (3 - e4x)dx

0

4

5. Evaluate  1 dx

3 1 + 4x

0

6. Evaluate  5 dx

-1 3 - 2x

-2

7. Evaluate  e3x - 4 dx

-3 ex

8. The mean value of a continuous function over a given range is defined as the integral of the function divided by the range.

b

Mean value of (x) from a to b = 1  (x)dx

b - a a

Determine the mean value of the function 1 - e-t/T from t = 0 to t = T.

##### Purchase this Solution

##### Solution Summary

Integrals are found. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.

##### Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.