166 Answered Questions for the topic Integration

#### What is the value of C so that the following function is a probability density function? f(x)=Cx^9.5 --> see description

f(x)=Cx9.5 if 0≤x≤2, 0 otherwise

Integration Calculus

20d

#### calculus functions integration by parts

Which of the following functions of x can be integrated with respect to x without integration by parts, and purely using integration by u-substitution and the knowledge of the antiderivative of the...
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Integration Calculus

26d

#### Calculus Integration by Parts

Which of these integrals requires the method of integration by parts? (4 points)Answer Choices:

09/28/20

#### Differentiation and Integration of a difficult function

I am an expert and experienced Math and Physics professional. I thought I could use help from Math tutoring community and new ideas for solution of a difficult problem.∫.Given that y =...
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07/25/20

#### Maclaurin Series Term by Term Integration

Approximate the integral from 0 to 1 of (sin(x)/x) dx with an accuracy of 10^-6 using the Maclaurin series of sin, division of that Maclaurin series by x, and term-by-term integration. You will...
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07/25/20

#### Maclaurin Series and Term-By-Term Integration

Approximate the integral from 0 to 1 of e^(-x^2)dx with an accuracy of 10^-6 using the maclaurin series of e^x , replacement of x by -x^2, and term-by-term integration. You will have to figure out...
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#### Maclaurin Integration and Term-by-Term Integration

1.)a-Evaluate the integral from 0 to 1/2 of ln(1+x)dx with an accuracy of 10^-4 using techniques of integration and a calculator.b- Now approximate the integral from 0 to 1/2 of ln(1+x)dx to an...
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06/30/20

#### Trig Substitution Integration

06/01/20

#### Fundamental theorem of Calculus

Given that D(t) is a continuous and diffrentiable function . Also D(0) = 0 , D(5) = 120 and D(20) = 200 , simplify the integral using fundamental theorem , ∫ D'(t/4)dt inthe interval 0<t...
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05/11/20

#### Calculus Question HEEELP!!

Let, x^2f(x) = ∫ e^(-t^2) dt xfind the critical points of f(x) WITH DETAILS . note: integral from (x) to (x^2).

05/11/20

#### CALCULUS QUESTION HEEELP ASAP!!!

If f is integrable on [a, b], show by example that : tF (t) = ∫ f(x) dx ais continuous but need not to be differentiable.note: the integral from (a) to (t).

05/11/20

#### Can Somebody HEEELP PLEASE!!! ASAP

Definition: A function p (t) is a probability density function provided it satisfies the following properties:1. p (t) >= 0 for all t,2. integral from (negative infinity ) to ( infinity) of p(t)...
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05/11/20

#### HARD CALCULUS QUESTION, HEEELP!!!

If f is integrable on [a, b], show by example that : tF (t) = ∫ f(x) dx ais continuous but need not to be differentiable.note: the integral from (a) to (t).

05/11/20

#### If f is integrable on [a, b], show by example that

show by example that: tF (t) = ∫ f(x) dx ais continuous but need not to be differentiable.note: the integral from (a) to (t).

04/13/20

#### Integrals: Inverse Trigonometric

Integrate: dx/[sqrt(8+6x-9x^2)] Please show step by step solution. I have 1/3 arcsin (3x-1) + c as an answer, is that right?

#### hi i need assistance with this question

Find the volume of the solid that results when the area of the region enclosed by y 2 = 4x, x = 4, and y = 0 is revolved about the y axis.

#### Verify the conclusion of Green's Theorem by evaluating both sides of the equations for the field

Verify the conclusion of Green's Theorem by evaluating both sides of the equations for the field F = - 3yi + 3xjTake the domains of integration in each case to be the disk R: x2 + y2 ≤ a2 and its...
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04/04/20

#### are sine and cosine equal for non-acute complementary angles?

for example, when writing a proof, is it logical to write the following:cos(-ø)=sin(π/2+ø) (∵ the cosine of an angle is equal to the sine of its complementary angle)I ask because this...
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Integration Calculus

03/23/20

#### Find the area of the region bounded by the curve y=x^3-2x^2-5x+6

12/19/19

#### Given two equation, find intersect point, enclosed area and need to sketch graph!

Determine each of the following.i. Sketch 𝑦1 and 𝑦2 in the same graph.ii. Shaded the area of the region bounded.iii. Find the intersection points.iv. Find the enclosed area.

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