10 Answered Questions for the topic Antiderivatives

06/28/21

Use substitution to find all the antiderivatives of the function
g'(x) = 30 (ln x)9/x
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06/27/21

Find the specific antiderivative using the given information.
f'(x) = 70(1 − 7x)2/3 and f(−1) = 200
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Antiderivatives Calculus Substitution Method

06/27/21

Use substitution to find all antiderivatives of the given function
h'(t) = 32t3 et^4
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06/27/21

Find the specific antiderivative using the given information.
f'(t) = 2t-1 − 1/t4 and f(−1) = 0
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Antiderivatives Calculus Cal2

01/31/21

 Let f′′′(t)=−5t+5√t
(a) Find the most general formula for f′′(t). If an arbitrary constant must be used here, use an upper-case "C". (b) Based on your answer to (a), find the most general formula  for f′(t). If... more
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Antiderivatives Calculus

07/29/20

Given f ' ' ( x ) = − 36 sin ( 6 x ) and f ' ( 0 ) = − 5 and f ( 0 ) = − 6 . Find f ( π/ 6 )
So I found f'(x) from f''(x) to be 6cos(6x)+csince f'(0=-5 I got 6cos(6*0)+c=-5 where c=-11so for f'(x)=6cos(6x)-11x+cf(x)=sin(6x)-11x+csince f(0)=-6f(x)=sin(6*0)-11*0+c=-6c=-6so f(pi/6)=... more
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Antiderivatives Math Calculus

04/02/20

A ball is thrown upward with a speed of 48 ft/s from the edge of a bridge 32 ft above the ground. The acceleration due to gravity is about 32 feet per second per second.
Find the ball’s height above the ground 𝑡 seconds later.When does the ball reach its maximum height?When does the ball hit the ground?On what interval of time is the speed of the ball increasing?... more
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Antiderivatives Calculus Precalculus

05/05/19

Antiderivative question (pls help)
Find f.f '''(x) = cos(x),    f(0) = 3,    f '(0) = 8,    f ''(0) = 4
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Antiderivatives Calculus Calculus 1

10/27/18

Particle functions
Consider a particle moving along the x-axis where x (t ) is the position of the particle at time t, x' (t ) is its velocity, and x'' (t ) is its acceleration. A particle moves along the x-axis at a... more
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Antiderivatives Math Integral Calculus

11/14/15

Find f when f"(x) = x^-2, x > 0, f(1) = 0, f(2)
Find f when f"(x) = x^-2, x > 0, f(1) = 0, f(2)   I know I need to find the antiderivative twice but my answer is no where near what's in the book (see below for answer).     ANSWER:... more
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