86 Answered Questions for the topic Integrals

04/21/16

#### Indefinite/Definite Integrals

I need help solving a couple of indefinite/definite integrals. It seems all of my homework problems have done the less complicated ones so I'm not sure how to do these ones:First problem:... more

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

04/16/16

#### A forest fire covers 2010 acres at time t=0. The fire is growing at a rate of 8vt acres per hour, where t is in hours. How many acres are covered 24 hours later

A forest fire covers 2010 acres at time t=0. The fire is growing at a rate of 8√t acres per hour, where t is in hours. How many acres are covered 24 hours later?Round your answer to the nearest... more

04/16/16

#### Find the total area between y=x+14 and y=4x+3 between x = 0 and x =2.

Find the total area between y=x+14 and y=4x+3 between x = 0 and x =2.

03/13/16

#### Evaluate the integral below.

Evaluate the integral below.   ∫_0^1¦∫_y^(2−y)¦ ∫_0^(2−x−y)¦ xy dz dx dy

03/03/16

#### Definite integral

What is the definite ∫((x2-3x+2)/(x+1)) ?   I tried dividing this but I didn't know what to do with the remainder.

02/02/16

#### Cubic curve integral - area enclosing curve and x-axis

The curve is x^3-6x^2+11x-6. I have to prove that the two regions enclosed between the x-axis and the curve are equal. Given is, that the curve cuts the x-axis at x=1,x=2 and x=3. I tried finding... more

12/13/15

1. Evaluate the integral S-12 f(x)dx, when f(x)=3-x3 when x is less than or equal to 1; f(x)=x2 when x is greater than one.     2. Evaluate the integrals using the FTC 1. (a) S-2-1... more

12/01/15

#### Find area under the curve

Find the area under the curve h(x)=(3x-2)^3 from x=1 to x=2

12/01/15

#### Find average value of the function!

Find average value of the function f(x)=3x^2 on the interval 1≤x≤3.

11/18/15

11/18/15

08/31/15

#### Evaluate each of the following integrals.

2 1)  ∫ 4x dx           3 2)  ∫ (x2+3x)dx          4 3) ∫ (x2-4x+5)dx

08/23/15

#### True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please

If f and g are differentiable and f(x)≤ g(x) on [a,b], then f'(x)≤g'(x) on [a,b]

08/23/15

#### True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please

If f and g continuous function on [a,b] then (upper: b, lower a)∫f(x)g(x)dx=[(upper: b, lower a)∫f(x)dx]*[(upper: b, lower a)∫g(x)dx].

08/23/15

#### True or false. If true, why? If false, what is a counter example, and can you explain why it contradicts? Please

If F(x)= (upper: x, lower: 0) ∫√(t3+1)dt  then  F'(2)=3

08/16/15

#### is this expression correct?

∫ecosxdx=e-sinx+C

08/16/15

#### which of the following integrals is INCORRECT?...

A) ∫tanxdx=sec2x+C   B) ∫cscxdx=ln[cscx-cotx]+C   C) ∫cotxdx=ln[sinx]+C

08/16/15

#### integrating

when integrating ∫sin3xdx, a good first move would be to:   a) use u-substitution, letting u=sinx, and then integrating ∫u3du   b) use u-substitution, letting u=sin2x   c) rewrite the problem... more

08/16/15

#### dividing definite integrals

∫(top: b, bottom: a) ∫(f(x)/g(x))dx=(top: b, bottom: a)∫f(x)dx÷(top: b, bottom: a)∫g(x)dx   true or false?

08/16/15

#### definite integral

which of the following expressions are true about the definite integral of sinx on the interval [0,2Π]?   A) (top 2Π, bottom 0) ∫sinxdx= (Π →∞)lim (top: Π, bottom: i=0)∑sinxi 2Π   B) (top 2Π,... more

08/12/15

#### solving integrals

∫( (du)/(u(u2-1)1/2) ) = __________________

08/12/15

#### solving using integrals

if I have a graph of f(x) and I want to find (on the top of the integral sign is 5, and on the bottom is -2)  ∫f(x)dx   what would ∫f(x)dx equal?... (if the graph has points at (-5,2) (-2,0)... more

08/12/15

#### solving integrals

∫ ( (x+3)/√(1-x2) )dx=_____________

08/11/15

#### Word problem using rate of change and integrals

A giant spherical snowball is melting such that its radius decreases at a rate of 5 mm per hour. How fast is the surface area changing when the diameter is two meters? How fast is the volume... more

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