27 Answered Questions for the topic ANTIDERIVATIVE

10/23/19

antiderivative of f(x) = 4x + sin x ?

01/15/19

A car traveling 25 m/s begins to decelerate at a constant rate of 8 m/s^2

After how many seconds does the car come to a stop?How far will the car have traveled before stopping?

01/15/19

Difficult Calculus Problem

As water flows through a tube of radius R = 13 cm, the velocity v of an individual water particle depends only on its distance r from the center of the tube. The particles at the walls of the tube... more

01/15/19

Find f '(x) and f(x).

f ''(x) = 36x,    f''(0) = 3,    f(0) = 2

01/15/19

Help me solve this calculus problem, Please.

Solve the initial value problem.dy/dx = sec^2 (3x), y(pi/4)=9y=?

11/17/18

What is the antiderivative of sin^3(2x)cos(2x)dx

How would I solve the following: ∫sin3(2x)cos(2x)dxThank you so much!

01/04/18

initial value problem

initial value problem dv/dt = 7/(1+t^2) +(sect)^2v(0)=3v=?

04/05/17

If f is a function such that f ' (x) = - f(x)

then ∫ x f(x) dx =

03/10/17

y = f(x) = √ x the line tangent to f(x) is at the point (4, 2). Find the equation of the tangent line.

According to the answer key, the equation is 1/4x+1  but I don't understand where the 1/4 is coming from. I thought the antiderivative of rootx would be (x^(3/2))/(3/2) which is ultimately x^(1/2).... more

07/23/16

find the function F that satisfies the following differential equations.

f'''(x)=4x, f''(0)=0, f'(0)=1, f(0)=3

05/09/16

Calculus 1 help?

Consider the function f(x)  whose second derivative is f′′(x)=8x+5sin(x). If f(0)=2  and f′(0)=2  , what is f(x) ?

04/22/16

PROFIT FUNCTION IN CALC

I need help answering this word problem...I need to find the function P(t) and I just can't remember the process whatsoever   "A company has its profit function P(t) defined since its inception... more

04/22/16

Indefinite Integral

Can someone help me solve for this indefinite integral?:   (u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3)   Thank you!

04/21/16

Indefinite Integral

I need help solving a couple of indefinite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to due these ones:   First problem: (integral... more

03/04/16

Find the antiderivative of e(4lnx) - e(4x).

Find the antiderivative of e(4lnx) - e(4x).  

03/02/16

The Megabus was driving on 101 having a constant deceleration of 18 ft/second-squared. Its skid marks measured 190 feet before coming to a complete stop.

The Megabus was driving on 101 when it suddenly braked, having a constant deceleration of 18 ft/second-squared. It produced skid marks that measured 190 feet before coming to a complete stop. How... more

12/01/15

fint antiderivatives!

Find all antiderivatives of y=e^x-2x^3+1/5x

12/01/15

Find average value of the function!

Find average value of the function f(x)=3x^2 on the interval 1≤x≤3. 

11/18/15

what is the antiderivative of: the cubed root of x +5/x^6

this is a calculus prblem on anti derivatives and integrals. please help.

11/18/15

what is the antiderivative: 3e^x + 7sec^2x

this problem has to do with anti derivatives and integrals. please help

11/10/15

Calculus + Antiderivative

Consider the function f(x)=3/x2 - 3/x6   Let F(x) be the antiderivative of f(x) with F(1)=0

08/15/15

find the general antiderivative of f(X)= 5/2x

a.) 5/2x2-C   b.) 5ln[2x]-C   c.) none of these %MCEPASTEBIN%

08/12/15

chain rule is also know as

The Chain Rule for antiderivatives is also known as the ___________________ rule.   -derivative -substitution -product -integral
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