179 Answered Questions for the topic Integration

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
Integration Calculus

03/23/20

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

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.

Identify the critical points of the function. & Determine the intervals on which the function increases and decreases.

answer each of the following questions.i. Identify the critical points of the function.ii. Determine the intervals on which the function increases and decreases.

08/01/19

A difficult integration question from india please help

Integration of x5÷√1+x3+x6Please solve and tell me all the steps please help
Integration Calculus

06/19/19

Solve ∫(x-1)/(x³+x²+x)^(1÷2)dx

use a substitution as t=x+1+1÷x
Integration Mathematica

04/17/19

need mathematica coding for this question

12. Determine how large the number b has to be in order that ∫∞to b (1/x^2+1) dx < 0.001

03/23/19

Why do we require radians in calculus?

I think this is just something I've grown used to but can't remember any proof. When differentiating and integrating with trigonometric functions, we require angles to be taken in radians. Why... more

03/19/19

I can't remember a fallacious proof involving integrals and trigonometric identities.?

My calc professor once taught us a fallacious proof. I'm hoping someone here can help me remember it. Here's what I know about it: - The end result was some variation of 0=1 or 1=2. - It... more
Integration Trigonometry

12/18/18

How can we use integration in sound?

Sound waves have a pattern like sine graphs so can I use integration to find the area under the graph and if I can what will the area represent? I would also like to know the frequency of the sound... more
Integration Calculus

11/17/18

How do I find F''(2)

F(x) = \int_{1}^{x} f(t)\, dtf(t) =\int_1^{t^2}\frac{\sqrt{4+u^4}}{u}du\I have been stuck on this problem forever how do I find the second derivative at x=2? Any help would be appreciated.

11/17/18

What is the antiderivative of sin^3(2x)cos(2x)dx

How would I solve the following: ∫sin3(2x)cos(2x)dxThank you so much!
Integration Math Calculus Integrals

09/22/18

Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).

 Let f : [a, b] → R be a differentiable function and let P be a partition of [a, b]. Show that L(P, f′) ≤ f(b) − f(a).   Hint: Use the Mean-Value Theorem.(Recall that, if P = (x0,x1,...,xn), then... more

09/15/18

Integration of 1/(xe^x - x) with respect to x

Simple integration Please answer  
Integration Math Calculus Math Help

09/09/18

Question regarding integral of ln(2x+1) dx

∫ln(2x+1) dx; when I solve for this using u-sub with u = 2x+1, I get 1/2((2x+1)ln(2x+1) - (2x+1)) + C. However, when I solve for it using integration by parts, I get 1/2((2x+1)ln(2x+1)) - x + C.... more
Integration Calculus U Substitution

08/27/18

integrate this: (x^2)/(1+x^6)dx

Please use u-substitution
Integration Calculus Integrals Area

08/16/18

Double integral - calculating area

Calculate the area of the region bounded by the two curves, y = 4 - x2 and y = x + 2.   The answer is meant to be 9/2 but I just cannot get it!!! Maybe my bounds are incorrect.... help!

08/08/18

Definite Integral Evaluation

∫30 x2 Sqrt(x+1) dx ?

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