168 Answered Questions for the topic Integration

03/20/21

What is the right hand riemann sum approximation

A function f is continuous on the closed interval [4,12] and differentiable on the open interval (4,12) and f has the values below. Using 4 subintervals, what is the right hand riemann sum... more
Integration Calculus

12/14/20

Use integration by substitution to solve the integral below. Use the C for the constant integration.

f(sqrt 3x^4-4x+3)(12x^3-4)dxPlease help. I can send a picture of the equation if it’s confusing.
Integration Calculus

11/02/20

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... more
Integration Calculus

10/28/20

Calculus Integration by Parts

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

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 =... more

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... more

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... more

07/25/20

Maclaurin Series and Term-by-term Integration

07/25/20

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... more

Trigonometric Substitution Integration

4.) ∫((9-25x^2)^(1/2)*dx)/(x^2)

06/30/20

Trigonometric Substitution Integration

3.) ∫(dx)/((x)*(9+25x^2)^(1/2))

06/30/20

Trigonometric Substitution Integration

2.) ∫ ((9+25x^2)^(1/2)*dx)/(x^2)

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... more
Integration Calculus Calculus 2

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).
Integration Calculus Calculus 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).
Integration Calculus Calculus 2

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)... more
Integration Calculus Calculus 2

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?
Integration Math Calculus

04/07/20

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.
Integration Math Calculus Precalculus

04/06/20

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... more

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... more

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