Calculus

Evaluate (integral) e^3x dx.

A. e^3x + C
B. 1/3e^3x + C
C. e^4x + C
D. 1/4e^4x + C

  1. 👍 0
  2. 👎 0
  3. 👁 100
  1. let u = 3x
    so, du = 3dx, or dx = du/3

    integral e^3x dx = integral e^u du/3

    you can surely take it from there. . .

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Calculus

    1. Express the given integral as the limit of a Riemann sum but do not evaluate: integral[0 to 3]((x^3 - 6x)dx) 2.Use the Fundamental Theorem to evaluate integral[0 to 3]((x^3 - 6x)dx).(Your answer must include the

    asked by Ernie on May 7, 2018
  2. Calculus Please Help2

    Evaluate the integral by using substitution. Use an upper-case "C" for the constant of integration. integral x^5((x^6-2)^10)dx ty

    asked by Babak on April 25, 2014
  3. math

    Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral 2(2x+6)^5 dx, u=2x+6

    asked by vishal on September 10, 2013
  4. calculus

    1.Evaluate the integral. (Use C for the constant of integration.) integral ln(sqrtx)dx 2. Use the method of cylindrical shells to find the volume V generated by rotating the region bounded by the curves about the given axis. y =

    asked by Anonymous on February 6, 2020
  5. Calculus

    Evaluate the integral: 16csc(x) dx from pi/2 to pi (and determine if it is convergent or divergent). I know how to find the indefinite integral of csc(x) dx, but I do not know how to evaluate the improper integral, at the

    asked by Sam on June 5, 2012
  1. math

    Evaluate the following indefinite integral by using the given substitution to reduce the integral to standard form integral cos(9x) dx, u=9x

    asked by vishal on September 10, 2013
  2. math

    Evaluate the given integral, where C is the circle with positive orientation. Cauchy integral theorem, integral over C (2z-3)/(z^(2)-4)(z+2) dz, C:|z+3|=3

    asked by jay on October 9, 2015
  3. calc II

    Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x-1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x-1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 +

    asked by Jenna on December 6, 2009
  4. Math - complex numbers

    These questions are related to de moivre's theorem: z^n + 1/z^n = 2cosntheta z^n - 1/z^n = 2 isin ntheta 1. Express sin^5theta in the form Asintheta + Bsin3theta + Csin5theta and hence find the integral of sin^5theta. 2. Express

    asked by Chiquesta on December 17, 2011
  5. calc

    how do you start this problem: integral of xe^(-2x) There are two ways: 1) Integration by parts. 2) Differentiation w.r.t. a suitably chosen parameter. Lets do 1) first. This is the "standard method", but it is often more tedious

    asked by walex on May 15, 2007
  6. Calculus

    for the function F(t)=ln(t^2), let f(t)=F'(t). Write the integral from a to b of f(t) dt and evaluate it with the fundamental theorem of calculus. the integral from 1 to 3 ___ dt= __

    asked by bob on November 30, 2011

You can view more similar questions or ask a new question.