36 Answered Questions for the topic ANTIDERIVATIVE

Antiderivative Calculus

01/31/21

#### Find f if f′(x)=12(x^3)+16x+7 and f(1)=−3.

Antiderivative Calculus

01/28/21

11/17/20

#### How do I integrate 1000e^-.0415t - 250te^-.0415tdt?

1000e-.0415t-250te-.0415tdt
Antiderivative Calculus

07/30/20

#### A stone is thrown straight up from the edge of a roof, 650 feet above the ground, at a speed of 12 feet per second.

A stone is thrown straight up from the edge of a roof, 650 feet above the ground, at a speed of 12 feet per second.A. Remembering that the acceleration due to gravity is -32 feet per second... more
Antiderivative Calculus

07/30/20

#### Consider the function f ( x ) whose second derivative is f ' ' ( x ) = 2 x + 2 sin ( x ) . If f ( 0 ) = 3 and f ' ( 0 ) = 3 , what is f ( 3 ) ?

Consider the function f(x) whose second derivative is f''(x)=2x+2sin(x). If f(0)=3 and f'(0)=3, what is f(3)? this is my... more
Antiderivative Calculus Trigonometry Integral

06/30/20

06/30/20

#### Trigonometric Substitution Integration

Evaluate the Following:1.) ∫ (dx)/(x^2*(9-25x^2)^(1/2))
Antiderivative Math Calculus Anti Derivative

10/23/19

#### What is the antiderivative of f(x) = 5x^4– 4x^3 + 2 where f(0) = 5?

Antiderivative Math Calculus Anti Derivative

10/23/19

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

Antiderivative Calculus Derivative Help

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?
Antiderivative Calculus Derivative

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
Antiderivative Calculus Derivative Integral

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=?
Antiderivative Calculus Maths Integration

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!
Antiderivative Calculus Derivatives

03/23/18

#### how to turn this derivative word problem into an antiderivative word problem.

how can i turn this problem into an antiderivative word problem, need help please.   A ball is thrown vertically upwards with an initial velocity of 60m/s. After time t seconds, its height above... more
Antiderivative Calculus Initial Values

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
Antiderivative Derivatives

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
Antiderivative Calculus 1

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
Antiderivative Calculus Integrals Integration

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

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