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.