179 Answered Questions for the topic Integration
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.
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...
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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.
12/18/19
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.
Integration
11/16/19
if ∫ √x dx = F(x),F(x)=G(x)+c ,where c is a constant and f(9) = 20 ,then value of C? OPTION-0,1,2,3
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 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...
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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...
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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...
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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!
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...
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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....
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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!
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