86 Answered Questions for the topic Integrals

07/21/15

#### Calc word problem! Distance and velocity with integrals.

A particle is released. Its speed t seconds after release is given by v(t)=0.3t^2+8t. How far does the particle travel during the first 4 seconds? How far does the particle travel during the...
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07/17/15

#### Express limit as definite integral?

limit as n goes to infinity.
n
Σ i4/n5 on interval [0,1]
i=1
Options are:
1 1 1 7 1
∫ 1/x5 , ∫ 1/x4 , ∫ x4 , ∫ x5 ...
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04/27/15

#### Consider an integrable function f(x) that is odd

Assume that integral from 0 to 5 f(x)dx=6 and integral from 0 to 8 f(x)dx=4
Find:
-integral from 5 to 8 f(x)dx
-integral from -5 to 8 f(x)dx
Please Help!!

03/23/15

#### calculate the integral (2x - 4x3) dx

Can you help me calculate the integral ∫²1 (2x - 4x3) dx ?And show me the steps to get there? Thanks!

12/14/14

#### How to find the area under multiple curves

I have a problem here that involves three equations. It wants to know the total area that is bounded by these three equations. they are as follows:
y=x
y=7
y=x2/28
The domain is [0,14]
I know...
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12/14/14

#### How to find total area of a region

We have a parabola whose formula is y=5sin^2x and is bounded at the top by the line y=5. It is shaded under the y=5 line between x=pi/2 and x=3pi/2. How do I find the area of this shaded...
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11/26/14

#### Integral Question

Let ∫[−4.5 to −9] f(x) dx= 5, ∫ [−7.5 to −9] f(x) dx= 2, ∫[−4.5 to −6] f(x) dx= 4. Find ∫[−6 to −7.5] f(x) dx= and ∫ [−7.5 to −6] 5 * f(x) −2 dx= I found out that ∫[−6 to −7.5] f(x) dx= -1 however...
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11/20/14

#### Integral Help

Evaluate the integral. Assume that A is a real number and that A < 0.
integrate 8/(x-2)^4 from 0 to A

11/20/14

#### HELP! Area Using Integrals

Determine the area that is bounded by the following curve and the x-axis on the interval below. (Round your answer to three decimal places.) y = x^2 − 16, −6 ≤ x ≤ 2

11/13/14

#### Estimating Distance Traveled- Integral/Antiderivative Unit

An object has a velocity v(t) = 4/t+45 ft/s. Use the interval [3, 13] with n = 5 and equal subintervals to compute the following approximations of the distance the object traveled. (Round your...
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10/22/14

#### What is the volume of the surface intercepted by x^2+y^2=1 , z=2-|x| , z=0 ?

triple integrals

07/28/14

#### Integral problem

solve for the integral.......cos(x)sqrt(1-cos(x)) in respects to x, lower bound is o and upper bound is pi/2

07/21/14

#### Evaluate the integral shown below using the given method

∫sin(x)cos(x) dx
1. substitution where u=sin(x)
2. substitution where u=cos(x)
3 .integration by parts
4. using the identity sin(2x)=2sin(x)cos(x)

06/30/14

#### What is the tangent function?

I'm not asking what it does, and I'm not looking for "tan(angle)=opposite leg/adjacent leg". I'm asking what the actual function is. For instance, using degrees (not radians) tan(22.5)=20.5 - 1....
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05/02/14

#### what is the result of the integral of the following,the letter is q

∫ -2 dq (cos-1q)√(1-q2)

04/09/14

#### FIND INTEGRAL 7^3 SQUARE ROOT X

How to find integral of ∫73√x
is there a way you can explain

12/14/13

#### Help with an integral

Can you help me in calculating the integral>
I= dx/sinx(2+cosx-2sinx)
I could really use the help. Thanks to everyone!

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