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

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

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...
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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...
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06/30/20

#### Trig Substitution Integration

06/30/20

#### Trigonometric Substitution Integration

Evaluate the Following:1.) ∫ (dx)/(x^2*(9-25x^2)^(1/2))

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...
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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=?

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!

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...
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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)....
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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

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...
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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...
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