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.
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Antiderivative Math Calculus

01/31/21

Find the particular antiderivative that satisfies the following conditions: dy/dx=7(x^−2)+5(x^−1)−2; y(1)=4.
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Antiderivative Calculus

01/28/21

Find the most general antiderivative of f(x)=−4x+6(1−x2)−1/2, where −1<x<1
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11/17/20

How do I integrate 1000e^-.0415t - 250te^-.0415tdt?
1000e-.0415t-250te-.0415tdt
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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
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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
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Antiderivative Calculus Trigonometry Integral

06/30/20

Trig Substitution Integration
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06/30/20

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

11/01/19

What is the antiderivative of f(x) = 5x^4– 4x^3 + 2 where f(1) = 6?
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Antiderivative Math Calculus Anti Derivative

10/23/19

What is the antiderivative of f(x) = 5x^4– 4x^3 + 2 where f(0) = 5?
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Antiderivative Math Calculus Anti Derivative

10/23/19

antiderivative of f(x) = 4x + sin x ?
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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?
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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
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Antiderivative Calculus Derivative Integral

01/15/19

Find f '(x) and f(x).
f ''(x) = 36x,    f''(0) = 3,    f(0) = 2
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01/15/19

Help me solve this calculus problem, Please.
Solve the initial value problem.dy/dx = sec^2 (3x), y(pi/4)=9y=?
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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!
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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
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Antiderivative Calculus Initial Values

01/04/18

initial value problem
initial value problem dv/dt = 7/(1+t^2) +(sect)^2v(0)=3v=?
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04/05/17

If f is a function such that f ' (x) = - f(x)
then ∫ x f(x) dx =
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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
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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
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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) ?
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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
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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!
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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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