Number of results: 46,969
Solve these indefinite and definite integrals. [integration sign] 4j-5j^3 dj I got 2j^2 - 5/4j^4... is this my final answer? If j is the variable, for the indefinite integral you have to add a constant. For the definite integral, you have to put in the lower, upper limits. j ...
Monday, December 18, 2006 at 4:42pm by Alex
On a), don't forget that the force on the valence electron includes the attractive force of the nuclues, and the repulsive forces from the inner electrons. So, for a gross simplification, assume a net charge of +1e at the nucleus. Yes, this is a gross simplifiation, but ...
Thursday, February 7, 2008 at 8:44pm by bobpursley
Calculus (improper integrals)
the integral from 0 to lnx of lnx/(x^1/2) thanks!
Thursday, March 6, 2008 at 6:25pm by Chelsea
Calculus - Partial Integrals
Hi David, If I give you the answer (I just verified that it is correct): (s+1)/[(s^2+1)(s-1)^3] = 1/(s-1)^3 - 1/2 1/(s-1)^2 + 1/2 1/(s^2+1) Can you verify that adding up the partial fractions yields the original fraction? Can you extract your A, B, C, etc. from the solution ...
Tuesday, March 25, 2008 at 7:19am by Count Iblis
Calculus - Derivatives
The approximation to a definite integral using n=10 is 2.346; the exact value is 4.0. If the approximation was found using each of the following rules, use the same rule to estimate the integral with n=30. A) Left Rule B) Trapezoid Rule The section deals with approximation ...
Monday, September 29, 2008 at 10:05pm by UMich1344
Calculus - evaluating integrals
I'm really having trouble with this current topic that we're learning. Any explanations are greatly appreciated. Evaluate the integrals: 1.) ∫ (2-2cos^2x) dx 2.) ∫ cot3x dx 3.) ∫ ((e^(sqrt x) / (sqrt x) dx))
Wednesday, March 23, 2011 at 11:40am by Amy
In exams, watch out for these freebies, definite integrals only! If you can show that the function to be integrated is odd (i.e. f(x)=-f(x), and the limits of integration is symmetric around 0, e.g. -%pi/4 to %pi/4, etc., the answer is zero! Try that with known odd functions, ...
Thursday, December 1, 2011 at 1:53am by MathMate
definite Integrals (using fundamental Theorem) Evaluate from -1 to 2(x^2 - 4x)dx
Friday, December 2, 2011 at 1:10am by Stacy
a) correct b) on your graph, x = -4 and x = 1 are vertical asymptotes. c) causes all kinds of headaches in such calculations as finding definite integrals, or even just making a sketch of the graph
Saturday, February 11, 2012 at 1:46pm by Reiny
Calculus (Definite Integrals)
How many definite integrals would be required to represent the area of the region enclosed by the curves y=(cos^2(x))(sin(x)) and y=0.03x^2, assuming you could not use the absolute value function? a.) 1 b.) 2 c.) 3 d.) 4 e.) 5
Wednesday, February 29, 2012 at 7:55pm by Mishaka
Calculus (Definite Integrals)
See plot and make your choice. http://img401.imageshack.us/img401/2217/1330563319.png
Wednesday, February 29, 2012 at 7:55pm by MathMate
Calculus (Definite Integrals - Arclength)
Using the trapezoid rule with n = 8 to approximate the arc length of the graph of y = 2x^3 - 2x + 1 from A(0,1) to B(2,13) you get (to three decimal places): A.) 6.900 B.) 13.896 C.) 14.093 D.) 13.688 E.) 13.697
Monday, March 12, 2012 at 6:18pm by Mishaka
Calculus (Definite Integrals - Work)
Recall that work is defined to be force times distance, and that the weight (force) of a liquid is equal to its volume times its density. A fish tank has a rectangular base of width 2 feet and length 6 feet and sides of height 5 feet. If the tank is filled with water weighing ...
Monday, March 12, 2012 at 7:09pm by Mishaka
Calculus (Definite Integrals - Force) Please Help
A cylindrical oil storage tank 12 feet in diameter and 17feet long is lying on its side. Suppose the tank is half full of oil weighing 85 lb per cubic foot. What's the total force on one endof the tank?
Monday, March 12, 2012 at 8:49pm by Mishaka
Calculus (Definite Integrals - Fluid Pressure)
The ends of a water trough have the shape of the region bounded by the graphs of y = x2 and y = 4 with x and y both measured in feet. To what depth must the trough be filled with water so that the force exerted by the water on either end of the trough is 779.423 lb? (Water has...
Monday, March 12, 2012 at 8:50pm by Casablanca
Calculus (Momentum and Force)
The change in the momentum of an object (Ä p) is given by the force, F, acting on the object multiplied by the time interval that the force was acting: Ä p = F Ät . If the force (in newtons) acting on a particular object is given by F(t)=cost , what’s the total change in ...
Tuesday, March 13, 2012 at 2:15pm by Casablanca
Help W/ Definite Integrals
Evaluate the definite integral of (4x^3-x^2+2) from 5 to 2. Can someone please explain what I'm being asked to do? My book is not clear on this concept.
Sunday, April 29, 2012 at 4:05pm by Tabby
Help W/ Definite Integrals
First of all, the integral and the derivative are inverse operations e.g. if y = 4x^3 then dy/dx = 12x^2 then ∫ 12x^2 dx = 4x^3 notice the notation , read it as "the integral of 12x^2 by dx " if we want the definite integral then usually you will find two numbers with ...
Sunday, April 29, 2012 at 4:05pm by Reiny
Which of the following definite integrals gives the length of y = e^(e^x) between x=0 and x=1? All the answers are preceded by the integral sign from 0 to 1. (a) sqrt[1 + e^(2*(x+e^x))] dx (b) sqrt[1 + e^(4x)] dx (c) sqrt[1 + e^(x+e^x)] dx (d) sqrt[1 + e^(2e^x)] dx (e) sqrt[e...
Wednesday, December 19, 2012 at 5:44pm by Jess
In the interval (0 is less than or equal to x which is less than or equal to 5), the graphs of y=cos(2x) and y=sin(3x) intersect four times. Let A, B, C, and D be the x-coordinates of these points so that 0<A<B<C<D<5. Which of the definite integrals below ...
Thursday, December 5, 2013 at 8:05pm by Rasheda