36 Answered Questions for the topic ANTIDERIVATIVE
Find the particular antiderivative that satisfies the following conditions: dy/dx=7(x^−2)+5(x^−1)−2; y(1)=4.
Find the most general antiderivative of f(x)=−4x+6(1−x2)−1/2, where −1<x<1
How do I integrate 1000e^-.0415t - 250te^-.0415tdt?
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
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
Trigonometric Substitution Integration
Evaluate the Following:1.) ∫ (dx)/(x^2*(9-25x^2)^(1/2))
What is the antiderivative of f(x) = 5x^4– 4x^3 + 2 where f(1) = 6?
What is the antiderivative of f(x) = 5x^4– 4x^3 + 2 where f(0) = 5?
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?
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
Find f '(x) and f(x).
f ''(x) = 36x, f''(0) = 3, f(0) = 2
Help me solve this calculus problem, Please.
Solve the initial value problem.dy/dx = sec^2 (3x), y(pi/4)=9y=?
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!
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
initial value problem
initial value problem dv/dt = 7/(1+t^2) +(sect)^2v(0)=3v=?
If f is a function such that f ' (x) = - f(x)
then ∫ x f(x) dx =
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
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
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) ?
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
Can someone help me solve for this indefinite integral?: (u^2 + u)/(2u^3 + 3u^2 + 1)^(2/3) Thank you!