1. C

    Integral of (cosx+sinx)^2dx

    I did this but not sure if it is correct: ∫(cosx+sinx)^2dx= ∫(cos^2x+2cosxsinx+sin^2x)= ∫(2cosxsinx)= 2∫cosxsinx= 2sinx-cosx+C <--------End
  2. B

    Solve for k

    P =(197.3e^(197.3kt))/(e^(197.3kt) + 1) Solve for k, assuming it is a linear function of P
  3. B

    Integrate dP/dt =kP

    Integrate dP/dt = kP solving for P? And how do I find k if it is a constant?
  4. B

    Integrate and Differentiate f(z)= 1/x^(2)

    Hi I am working on a question that simply states: Differentiate and Integrate the following functions... ..f(z)= 1/x^(2) If I am meant to differentiate with respect to z then do either: (i) leave the x term as it is; (ii) not include the x term as differentiating with respect to z does not...
  5. P

    Was asked to integrate: "x ln(x)" by parts, but my answer ≠ the textbook's?

    I was asked to integrate: "x ln(x)" by parts and received the following answer: ln(x) (x^2 / 2) - (1 / x) (x^2 / 2) + c. However, the answer in the back of the book is: "ln(x) (x^2 / 2) - (x^2 / 4) + c. Why is the term to the right of the minus sign different in the book's answer?
  6. X

    integrate 0.25(e^-2x)(sec x )

    i have tried , but eventually , i got back the same form as the question.... what's wrong with it?
  7. X

    integrate -x (sinx )(e^2x)

    is it possible to integrate -x (sinx )(e^2x) ??
  8. X

    integrate sinx (e^2x)

    my ans is 2(e^2x)sin x / 3 - (4/15)(cosx )(e^2x) , is it correct ?
  9. X

    integrate dv / srt rt ( 1 +v^2)

    is it wrong to integrate dv / srt rt ( 1 +v^2) = ( (1+v^2)^0.5) / (2v)(0.5) ?
  10. H

    Re: integrate ln(tanx+1)

    how to solve this?????
  11. X

    integrate sin2x cos4x

    why the final ans that i get is = 0 ? which part of my working is wrong ?
  12. X

    integrate using hyperbolic substituition

    is my method correct ?
  13. X

    integrate by substituition

    i have done this question in 2 ways , but i gt stucked ... for the trigonometric substituition , how should i proceed form there ? for the hyperbolic substuition , how should i proceed ?
  14. X

    integrate (x^3)(cosh2x)

    why the ans from the tabular method is different from the by part method ? why the ans from for each term of tabular method is more than the by part method by 1/2 ?
  15. X

    integrate 1/ sqrt rt ( 1-e^(2x) ) using trigonometry substituition

    how to integrate 1/ sqrt rt ( 1-e^(2x) ) using trigonometry substituition ? How should I start ? i know that for sqrt rt (a^2 -x^2 ) , i should use asinθ
  16. X


    $\int_{surd 2 }^{2} 1/(x^2)($\sqrt{x^2 -1}$ dx$ I'm asked to solve this question using trigonometry substitution , i gt stucked here , how should i proceed?
  17. F

    Integrate (e^(3t) - 3) / (e^(3t) - 9t +9) from 0 to 1

    I know that I need to somehow use substitution, integration by parts, or completing the square in order to be able to work with this. However, I have no idea where to begin. Should I try substitution to start? If so, what's the best choice for u?
  18. F

    Integrate (x^2 + 5) / (x^2 +1) dx

    Do I need to use the complete the square technique to solve this problem?
  19. F

    Integrate x / (x+1)^3

    Hello, Could you help me with this? Integrate x / (x+1)^3 from a=1 to b=4. I don't think that substitution works here, so my idea was to approach this using integration by parts. I tried solving it with u=(x+1)^-3 and dv = x, but that didn't work out because I ended up with something that I...
  20. X

    integrate 1/( x ( sqrt rt (x2 -1 ) ) ) from √2 to 2

    i gt it = arc sec x , then i sub √2 and 2 inside , i gt an error , why is it wrong ?