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166 Answered Questions for the topic Integration


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 Algebra 2 Maths


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


Solve ∫(x-1)/(x³+x²+x)^(1÷2)dx

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


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
Integration Calculus Trigonometry


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
Integration Calculus Trigonometry


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


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


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.
Integration Calculus Maths


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


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


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

Simple integration Please answer  
Integration Math Calculus


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


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

Please use u-substitution
Integration Calculus Integrals


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!


Definite Integral Evaluation

∫30 x2 Sqrt(x+1) dx ?


How to Integrate cos^7

integrate cos7dx


integration of e^ax+b

eax+b integration  
Integration Calculus


volume of this solid

i dont know how to solve this problem : find the volume of the region bounded by x = 1 − y^2 ,x = 2 + y^2, y = −1, y = 1, is revolved about the y-axis ! thank you
Integration Calculus


find the volume of this solid

How do you find the volume of the region bounded by y=x^2-1 , x=2 , y=0 , is revolved about the y-axis? thank you


if f(x) is a function and its anti derivative is F(x) then why F(a) - F(b) gives the area under curve of f(x) from a to b. Is there any prove for this.

                                                                                                                                                                                                     ... more


Integration of 1 minus cot Square x

Integration of 1- cot2 x


area of region bounded by curve and line in integration

Find where the curve y=x^2-x-1 meets line y=5. Find area of the region bounded by the curve and line y=5      

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