Recent content by CalculusHelp1

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    Alternating Series Convergence: Is the Series Sum of sin(1/n^2) Convergent?

    Yep that fixes it, I also made an algebraic error thinking sin was on the denominator. Brain is going to mush. Thanks!
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    Alternating Series Convergence: Is the Series Sum of sin(1/n^2) Convergent?

    Don't know why I said 'alternating' series in the thread title...my brain is becoming mush!
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    Alternating Series Convergence: Is the Series Sum of sin(1/n^2) Convergent?

    Homework Statement Sorry I don't know how to use symbols on this site so bear with me: the question is does the following series converge: sum of sin(1/n^2) where n goes from 1 to infinity Homework Equations Limit comparison test, maybe others The Attempt at a Solution Okay I think I got...
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    Solving a Differential Equation with Integrating Factors

    No, what are those?
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    Solving a Differential Equation with Integrating Factors

    Okay this problem might be over my head. I've only just learned first order linear differential equations and solving them by separation of variables. Is there any easier way to do this?
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    Is there a general way to solve integrals?

    Yes. Check out riemann sums. You take the limits of areas of rectangles under the curve as the number of rectangles approaches infinity.
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    Solving a Differential Equation with Integrating Factors

    Homework Statement Find the solution to (x+1)y' +2y -(x+1)^(5/2)=0 Homework Equations definition of antiderivative The Attempt at a Solution I have been trying to manipulate this equation in every possible way so that I can get x on one side and y on the other. Ever attempt has...
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    Solving Definite Integrals with Variable Limits

    Nevermind I figured it out. Problems solved.
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    Solving Definite Integrals with Variable Limits

    Sorry one more question, how would you deal with finding the derivative if there was another function being multiplied by the integral? For example, d(x^5 * integral of f(x) from x to x^2-x)/dx? Do you use the product rule here or is there some other trick?
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    Solving Definite Integrals with Variable Limits

    Thanks a lot!
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    Solving Definite Integrals with Variable Limits

    Homework Statement I'm trying to solve a problem where you are asked to find the derivative of an integral where both limits of integrations contain variables Homework Equations Definition of integrals, derivatives The Attempt at a Solution For problems where you have an...
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    Derivative of a definite integral

    Homework Statement The problem: Find the derivative of x2 multiplied by the integral of dt/(t-2t2) from x to -x2+2x i.e, the function is x^2 times integral of [1/(t-2t^2)]dt from a to b with a being x and b being -x^2+2x Homework Equations Derivative and integral definitionsThe Attempt at...
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    Integrating Functions with Variables: Solving Differential Equations

    Sorry i was given dy/dx and was asked to solve for y, i just replaced with with f(x) and dy/dx with f'(x). The solution was to separate the variables, I forgot all about it.
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    Integrating Functions with Variables: Solving Differential Equations

    Thanks again micromass
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    Integrating Functions with Variables: Solving Differential Equations

    Homework Statement f'(x)= x+1-yx-y Solve for f(x) Homework Equations definitions of integrals and derivatives The Attempt at a Solution Okay, so I integrated both sides. This gives f(x) = x^2/2 + x -integral(yx) - integral(y) +c The problem I'm having is how do you...