Calc or Pre calc

posted by .

I am having trouble doing this problem. I know how to do indefinate integrals, but I don't know how to do definate integrals. Can you show me how to do this.

Evaluate
5
(x^3-2x)dx
2

  • Calc or Pre calc -

    To get the definite integral subtract the value of the indefinite integral at x=2 from the value at x=5. The arbitrary cnstant c will cancel out.
    The indefinite integral is x^4/4 - x^2 + C.

    The definite integral is
    (625/4) - 25 -[16/4 - 4].

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. calc II

    Express the integrals as the sum of partial fractions and evaluate the integral: (integral of) (x^2)dx/(x-1)(x^2 +2x+1) My work: The above integral is equal to x^2dx/(x+1)^2 (A/x-1) + (B/x+1) + (Cx+D)/(x+1)^2 = x^2 A(x+1)^2 + B(x-1)(x+1) …
  2. calc

    find integral using table of integrals ) integral sin^4xdx this the formula i used integral sin^n xdx =-1/n sin^n-1xcosx +n-1/n integral sin^n-2 using the formula this is what i got: integral sin^4xdx=-1/4sin^3xcosx+3/4 integral sin^2xdx= …
  3. Calculus - evaluating integrals

    I'm really having trouble with this current topic that we're learning. Any explanations are greatly appreciated. Evaluate the integrals: 1.) ∫ (2-2cos^2x) dx 2.) ∫ cot3x dx 3.) ∫ ((e^(sqrt x) / (sqrt x) dx))
  4. Maths

    What is the answer for these questions:- 1) Indefinite Integrals gcx) = (8 + 39x ^ 3) / x 2) Indefinite Integrals hcu) = sin ^2 (1/8 u) 3) Evaluate x ( 8 - 5 x ^2) dx Thank you
  5. Calc

    First make an appropriate substitution and then use integration by parts to evaluate the indefinite integrals: ∫ sinx cos³x e^(1-sin²x) dx I was going to substitute u= 1 - sin²x, but then i got du = ½ sinxcosx - ½ xdx, so …
  6. MATH

    Evaluate by writing it as a sum of two integrals and interpreting one of those integrals in terms of an area.
  7. Calc

    Evaluate the integral by reversing the order of integration.(2 integrals) 0 to 4 5ex2 dx dy 3y to 12
  8. Calc

    Evaluate the integral by reversing the order of integration. (2 integrals) 0 to 8 cube root(y) to 2 8e^(x^4) dx dy
  9. calc

    Sketch the regions represented by the following integrals and evaluate them using geometric formulas. 4 integral 1: 2x+3dx 6 integral -2: lx-1l dx (absolute value of x-1
  10. Calculus indefinite integrals

    Evaluate the following indefinite integrals using substitution a) ∫ xsqrt(x^2-7) dx b) ∫ x^(2/3)(1/5x^(5/3)+2)^4 dx

More Similar Questions