Purchase Solution

Integration of exponential

Not what you're looking for?

Ask Custom Question

Integration of exponential:

I am having difficulty integrating exponential. I want to compute the indefinite integral of r`(t)
where r`(t) is the vector <3, -e(^ -t), 0>

The first integration I have is <3t+c1, ------- c3>

I am not sure how to integrate the -e^-t

------------------------------------------

I also have a similar question in a triple integral problem

We have:

I from 1 to 4 ... I from 0 to 1.... and I from 0 to X (going from left to right)
and the function we want to integrate is 2Ze^-x^2 dy dx dz

I am having trouble working out the mechanics of this integral mainly because of the e^-x^2
(e to the minus x^2)

Any assistance is appreciated.

Purchase this Solution
Solution Summary

This solution is comprised of a detailed explanation to compute the indefinite integral of r`(t)
where r`(t) is the vector <3, -e(^ -t), 0>.

Solution Preview

Please see the attached file.

I am having difficulty integrating exponential. I want to compute the indefinite integral of r`(t)
where r`(t) is the vector <3, -e(^ -t), 0> ...

Purchase this Solution
Free BrainMass Quizzes
Solving quadratic inequalities

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

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.

Exponential Expressions

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

Graphs and Functions

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

Probability Quiz

Some questions on probability

View More Free Quizzes
Related BrainMass Solutions

  • Integration of Exponential Functions

    136459 Integration Integration of Exponential Functions. See attached file for full problem description. Please see the attached file. The following posting helps with a problem that involves the integration of exponential functions.

  • Exponential Fourier Series

    119322 Exponential Fourier Series Find the exponential Fourier series for x(t), y(t) and z(t). In each of three cases it is not necessary to do any integration.

  • Probability: Random Variable and Probability Density Function

    to infinity)[x*exp(-x) dx] => E(x) = [-x*exp(-x) + exp(-x)](0 to infinity) (integration by parts) => E(x) = [(1-x)*exp(-x)] (0 to infinity) as x-> infinity, exponential function (exp(-x)) decreases faster than x.

  • Integration and Differentiation

    333763 Integration and Differentiation Exponential Functions Please explain the solutions so that I can understand. 7. Evaluate y = Integration-sign e^(ax+b) dx . 11.

  • Exponential Density Function

    Answer E[eX] = ∫-∞∞ (eXf(x)dx) = ∫-∞0 (eXf(x)dx) + ∫0∞ (eXf(x)dx) A B Now since f(x) =0 for x<0, A is equal to zero E[eX] = ∫0∞ (e2X)dx) Integration of e2X is e2X divided by -2 At x =0, Value = -

  • Calculus problems with differentiation and integration

    This set of five calculus problems goes through the product rule, the quotient rule, differentiation of trigonometric functions, differentiation of exponential functions, integration by substitution (u-substitution), and integration by parts.

  • Integrals and Derivatives

    C) The constant of integration, C. D) There is no difference between definite and indefinite integrals. 22. What is the second step of performing anti-differentiation? A) Divide the coefficient by the old exponential value.

  • Integral from 0 to Infinity

    *t^(inf) = 0 (Because, exponential is faster decreasing than t^n increasing) Hence, I = n*integration(0 to inf)[t^(n-1) e^(-t) dt] Similarly further, I = n*(n-1)*integration(0 to inf)[t^(n-2) e^(-t) dt] => I = n.

  • Random Variables

    11951 Random Independent Exponential Variables Suppose X1 and X2 are independent exponential (λ) random variables. Let Y1=X1-X2 and Y2=X2. a) Find the joint density of Y1 and Y2. b) Find the marginal density of Y1.

View More Related Solutions