140 Answered Questions for the topic Integration

08/01/19

06/19/19

Solve ∫(x-1)/(x³+x²+x)^(1÷2)dx

use a substitution as t=x+1+1÷x

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

03/24/19

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

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

03/18/19

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

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!

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

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

08/27/18

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 ?

08/07/18

integrate cos7dx

07/10/18

integration of e^ax+b

eax+b integration

07/01/18

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

07/01/18

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

06/11/18

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

05/23/18

Integration of 1 minus cot Square x

Integration of 1- cot2 x

05/04/18

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

04/19/18

at a sale on winter clothing, cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for$30.00.

find the price of the hats and gloves

04/09/18

Integration of dx/xpower 4 - a power 4

Integration of dx divided by x power 4 minus a power 4 !

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