Acceso
Prima
Hogar Banco de preguntas Matemáticas Cálculo
Pregunta
upstudy study bank question image url

(5)

Ask by Horton Rojas. in India
Jan 24,2025

Solución de inteligencia artificial de Upstudy

Respuesta verificada por el tutor

Responder

The integral of with respect to is .

Solución

Calculate the integral .
Evaluate the integral by following steps:
  • step0: Evaluate using partial integration formula:
  • step1: Prepare for integration by parts:
  • step2: Calculate the derivative:
  • step3: Evaluate the integral:
  • step4: Substitute the values into formula:
  • step5: Calculate:
  • step6: Use properties of integrals:
  • step7: Evaluate the integral:
  • step8: Add the constant of integral C:

    The integral of with respect to is given by:
where is the constant of integration.

Respondido por UpStudy AI y revisado por un tutor profesional

error msg
Explicar
Simplifique esta solución

Mind Expander

To solve the integral , we can use integration by parts. Let’s set (then ) and (which gives us ). Applying integration by parts, we have:
Substituting our values in, we get:
Now, solving the remaining integral:
Thus, the final result is:

preguntas relacionadas

The number of milligrams D(h) of a drug in a patient's bloodstream h hours after the drug is injected is modeled by the following function. D(h)=30e−0.35h Find the initial amount injected and the amount in the bloodstream after 7 hours. Round your answers to the nearest hundredth as necessary. Initial amount:
Cálculo United States Mar 31, 2025
43. ∫0πf(x)dx donde f(x)={senx si 0⩽x<π/2cos⁡x si π/2⩽x⩽π
Cálculo Colombia Mar 31, 2025
Find the average rate of change of f(x)=−2x3+4x2 from x=1 to x=3, Simplify your answer as much as possible. UII ,
Cálculo United States Mar 31, 2025
2. Find the image of the square bounded by the lines u=0,u=1,v=0,v=1 under the transformation x=v,y=u(1+v2).
Cálculo United States Mar 31, 2025
1. Find the Jacobian of the following transformations. (a) x=u2+uv,y=uv2
Cálculo United States Mar 31, 2025

Latest Calculus Questions

5. Use an appropriate change of variables to evaluate the integral ∬R(x+y)ex2−y2dA where R is the rectangle enclosed by the lines x−y=0,x−y=2,x+y=0, and x+y=3
Cálculo United States Mar 31, 2025
4. Evaluate ∬R(x2−xy+y2)dA, where R is the region bounded by the ellipse x2−xy+y2=2 by using the transformation x=2u−2/3v,y=2u+2/3v
Cálculo United States Mar 31, 2025
2. Find the image of the square bounded by the lines u=0,u=1,v=0,v=1 under the transformation x=v,y=u(1+v2).
Cálculo United States Mar 31, 2025
Find the average rate of change of f(x)=−2x3+4x2 from x=1 to x=3, Simplify your answer as much as possible. UII ,
Cálculo United States Mar 31, 2025
44. ∫−22f(x)dx donde f(x)={2 si −2⩽x⩽04−x2 si 0<x⩽2
Cálculo Colombia Mar 31, 2025
Anterior Próximo
¡Prueba Premium ahora!
¡Prueba Premium y hazle a Thoth AI preguntas de matemáticas ilimitadas ahora!
Quizas mas tarde Hazte Premium
Estudiar puede ser una verdadera lucha
¿Por qué no estudiarlo en UpStudy?
Seleccione su plan a continuación
Prima

Puedes disfrutar

Empieza ahora
  • Explicaciones paso a paso
  • Tutores expertos en vivo 24/7
  • Número ilimitado de preguntas
  • Sin interrupciones
  • Acceso completo a Respuesta y Solución
  • Acceso completo al chat de PDF, al chat de UpStudy y al chat de navegación
Básico

Totalmente gratis pero limitado

  • Solución limitada
Bienvenido a ¡Estudia ahora!
Inicie sesión para continuar con el recorrido de Thoth AI Chat
Continuar con correo electrónico
O continuar con
Al hacer clic en "Iniciar sesión", acepta nuestros términos y condiciones. Términos de Uso & Política de privacidad
Pop-up title
Lorem ipsum dolor sit amet, te everti debitis assentior nam, ne illum utroque principes sed. Ridens phaedrum an vix, qui in dolore appareat.