calculus I integral

posted by .

Is this correct?
Evaluate 2x∫1 3t(t^2 + 1)^2 dt

u= t^2 + 1
du= 2t dt 1/2du=tdt
2x∫1 3u^2 1/2du
3/2 2x∫1 1/3u^3 + c
3/2 [1/3 u^3]
3/2(1/3(2x)^3) - 3/2(1/3(1)^3)
Answer= 4x - 1/2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    Evaluate the triple integral ∫∫∫_E (x)dV where E is the solid bounded by the paraboloid x=10y^2+10z^2 and x=10
  2. Calculus

    Evaluate the triple integral ∫∫∫_E (x+y)dV where E is bounded by the parabolic cylinder y=5x^2 and the planes z=9x, y=20x and z=0.
  3. Calculus

    Evaluate the triple integral ∫∫∫_E (xy)dV where E is the solid tetrahedon with vertices (0,0,0), (4,0,0), (0,1,0), (0,0,4)
  4. Calculus

    Evaluate the triple integral ∫∫∫_E (z)dV where E is the solid bounded by the cylinder y^2+z^2=1225 and the planes x=0, y=7x and z=0 in the first octant.
  5. Calculus

    Evaluate the triple integral ∫∫∫_E (xyz)dV where E is the solid: 0<=z<=5, 0<=y<=z, 0<=x<=y.
  6. calculus

    Evaluate the integral ∫∫∫2xzdV bounded by Q. Where Q is the region enclosed by the planes x + y + z = 4, y = 3x, x = 0, and z = 0. Answer=16/15 Is this answer correct?
  7. Calculus 2 correction

    I just wanted to see if my answer if correct the integral is: ∫(7x^3 + 2x - 3) / (x^2 + 2) when I do a polynomial division I get: ∫ 7x ((-12x - 3)/(x^2 + 2)) dx so then I use u = x^2 + 2 du = 2x dx 1/2 du = x dx = ∫7x …
  8. Calculus

    Evaluate the following definite integral: integral at a = -1, b=2 -4dx/(9x^2+30x+25) Would I have to separate them in 3 terms as: -4 ∫1/9x^2 + ∫1/30x + ∫1/25 resulting in: -4/(3x^3)+ (15x^2)+ C?
  9. Calculus

    Alright, I want to see if I understand the language of these two problems and their solutions. It asks: If F(x) = [given integrand], find the derivative F'(x). So is F(x) just our function, and F'(x) our antiderivative?
  10. Calculus III

    Use symmetry to evaluate the double integral ∫∫R(10+x^2⋅y^5) dA, R=[0, 6]×[−4, 4]. (Give your answer as an exact number.) ∫∫R(10+x^2⋅y^5) dA=

More Similar Questions