integration

  1. B

    Is this calculation correct (Double Integration)?

    w = \int_{y_{1}}^{y_{2}} \int_{x_{1}}^{x_{2}} [-m \cdot g + T \cdot \frac{-x + (h - y)}{h}] \cdot dxdy = \int_{y_{1}}^{y_{2}} \int_{x_{1}}^{x_{2}}-m \cdot g \cdot dxdy + \int_{y_{1}}^{y_{2}} \int_{x_{1}}^{x_{2}} T \cdot \frac{-x + (h - y)}{h} \cdot dxdy = -m \cdot g \cdot \int_{y_{1}}^{y_{2}}...
  2. S

    Lebesgue integration - Riemann integration

    What the differences between Lebesgue integration and Riemann integration?
  3. T

    Need solve of integration.

    What is the integral of ∫ cos inverse(√x/√(x+a)) dx?
  4. S

    Integration Axioms

    What are the axioms of Integration?
  5. S

    Trying to understand integration with very basic knowledge of derivation

    I have to show that this equation is true, I know I have to find the derivative of the right side, but I don't know how to find derivative of the square root.
  6. L

    integration by parts xlny

    Hi guys, Where do I make mistake. I have rewritten three times still getting the same wrong answer :(
  7. L

    Integration By Parts

    Hi guys. Can somebody explain me only the last line ( in red frame). how did the last line shape just after the previous one. I know the topic well just didn't get that algebra part of ln transformation. appreciate it.
  8. A

    Calculus: Integration

    ${\displaystyle\int_0^1}\! \sqrt{x\ln\small\left(\frac{1}{\large x}\right)}dx$
  9. A

    differentiation / Integration Help

    The curve has a gradient function dy/dx = 2 +q/(5x^2) where q is a constant, and a turning point at (0.5, -4). Find the value of q. option 1 : 2.5 option 2: -2.5 option 3: 0 Option 4: -3 I couldn't find the answer from any of the options and will need assistance to how the answer can be...
  10. T

    I developed a method of integration and want some thoughts

    Over the past week or so I have been writing a somewhat large paper regarding an integration method I thought of. However, in my last non-proof related section I came up with the idea of a differential fork and I am curious if anything regarding that has ever been done before or if there is...
  11. I

    HOW TO DO INTEGRATION OF SIN c++

    How to do integration and differentiation of sin in c++
  12. J

    Integration question

    Calculate G'(x) given that: \[g(x)=\int_{x}^{x^2}f(t)dt\] where f(t) is differentiable.
  13. I

    What is integration and differentiation for?

    hello What is application of integration and differentiation.?
  14. A

    double integration

    Please could someone help with this question. When me and a friend integrate this with respect to x first and then with y first we both get different answers of 1.13333 and 1.8588 respectively and we can't see where we are going wrong
  15. A

    double integration

    Please could someone help me with part one as I have tried to do it via integration by parts but am getting nowhere
  16. H

    integration

    Please integrate the following. the limits are L and 0. X(X-B)dx
  17. SenatorArmstrong

    Surface area via integration confusion

    Hello forum, I am struggling on this problem. I am asked to evaluate $\oint \vec r \dot \,d\vec \sigma$ over the whole surface of the cylinder bounded by $x^2+y^2=1, z=0, z=3$ It seems pretty straight forward geometrically as it is just a unit circle at $z=0$ and then it extends...
  18. J

    Question on Multiple Integration

    Hiiiee!! I'mma. Jyoti,, from India. . .,, Pursuing Btech I T. 1st year Having some problems with my subjects,,, I'll be glad if you help me out with this question. I'd attached the picture of the question as an attachment.
  19. M

    A question to do with lebesgue integration

    Hello all, I was set a question on lebesgue integration. Please find attached the question and my attempted proof. Am i right? Regards
  20. J

    Equation of curves using integration

    Hi, I've been going through some practice questions for a test tomorrow and keep getting the wrong answer for this one question, even though it seems really simple! Here's the question, any help would be greatly appreciated: Given that f’(x)=2x-5 and that the curve of f(x) passes through...