Purchase Solution

U-Substitution, Integration by Parts and Differential Equations (8 Problems)

Not what you're looking for?

Ask Custom Question

Please show all of the steps needed to solve the 8 integrals and differential equations that are attached.

The integral of x(cos(x) dx
The integral of (x^3) sin(x) dx
The integral of t(csc(t))cot(t) dt
The integral of arctan x dx
The integral of e^2x sin(X) dx

Solve the differential equation.

y' = xe^x2

dy/dt = y^2/sqrt(2 + 3t)

cos(y) * y' = 2x.

Attachments
Purchase this Solution
Solution Summary

This solution shows how to calculate the integrals for the eight problems.

Purchase this Solution
Free BrainMass Quizzes
Probability Quiz

Some questions on probability

Exponential Expressions

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

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

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.

View More Free Quizzes
Related BrainMass Solutions

  • U-Substitution and Integration by Parts and Differential Equations (6 Problems)

    32036 U-Substitution and Integration by Parts and Differential Equations (6 Problems) Please show all of the steps needed to solve the 6 integrals and differential equations that are attached.

  • Relating Transform of a Function and Transform of the Derivative

    OK, so I've said so far that I let my u = and let dv = , du = -s and v = but then I get confused about how to implement the definite integral form of integration by parts, and won't I have to use this integration by parts several times?

  • Derivative of the Function and Definite Integral

    Find the indefinite integral: This integral can be found using integration by parts. We will choose and . Taking the derivative of u and the integral of dv gives and .

  • Integration by Parts and Integration by Substitution (30 Problems)

    63471 Integrate by Substitution and Integrate by Parts (30 Problems with High Quality Solutions) Evaluate the integral using integration by parts with the indicated choices of u and du. 1) ∫ x ln x dx, u=ln x, du=xdx 2) ∫ theta sec^2(theta

  • Calculus Integration by Parts

    66369 Calculus Integration by Parts Please evaluate the following integral using the formula for integration by parts, int (udv) = uv - int (vdu) Int z(ln z)²dz Following is the text part of the solution.

  • 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.

  • U substitution

    4369 U Substitution Example U substitution is explained using the example S4x(x^2+1)^5dx without and with limits of integration.

  • Integrals of Trigonometric Functions

    the integration by parts You need to be familiar with the following: 4) At the same time, Then the original integral is For the integral , we used the substitution u = cosx , substituting cosx back gives The same concept

  • Evaluate the Integrals

    We need to find what is If we rewrite it we can use L'hopital rule (the condition for the rule is met) Thus: And therefore: F. This is the same as problem D. Integration by parts: Integrals are found.

View More Related Solutions