Question

Evaluate the integral: ∫ 21/ x 2 √ x 2 + 49 d x

Answer #1

evaluate the integral ∫(x+2)/(x²+4) dx

Evaluate the triple integral _ D sqrt(x^2+y^2+z^2) dV, where D
is the solid region given by 1 (less than or equal to) x^2+y^2+z^2
(less than or equal to) 4.

Evaluate the integral: ∫8x^2 / √9−x^2 dx
(A) Which trig substitution is correct for this integral?
x=9sec(θ)
x=3tan(θ)
x=9tan(θ)
x=3sin(θ)
x=3sec(θ)
x=9sin(θ)
(B) Which integral do you obtain after substituting for x and
simplifying?
Note: to enter θθ, type the word theta.
(C) What is the value of the above integral in terms of θ?
(D) What is the value of the original integral in terms of x?

evaluate the double integral where f(x,y) = 6x^3*y - 4y^2 and D
is the region bounded by the curve y = -x^2 and the line x + y =
-2

Evaluate the integral: ∫27√x^2−9 / x^4 dx
(A) Which trig substitution is correct for this integral?
x=3tan(θ)
x=27sin(θ)
x=3sin(θ)
x=9tan(θ)
x=3sec(θ)
x=9sec(θ)
(B) Which integral do you obtain after substituting for xx and
simplifying?
Note: to enter θθ, type the word theta.
(C) What is the value of the above integral in terms of θ?
(D) What is the value of the original integral in terms of x?

Evaluate the surface integral (double integral) over S: G(x,y,z)
d sigma using a parametric description of the surface.
G(x,y,z)= 3z^2, over the hemisphere x^2+y^2+z^2=16, with z
greater than or equal to 0.

evaluate the integral
(x^3+4)/(x^2+4)dx
show appropriate alegrabic work

1. Evaluate the integral:
1) ∫ ? 2? ???? ?? 2) ∫ ? 2 ?? ? ??
2. Evaluate the integral:
1) ∫ ???3? ?? 2) ∫ ???3? ???2? ?�

Evaluate the following integral:
∫3x (divided
by)[(x(square)2+10x+30)]dx

Use the definition of the definite integral to evaluate Integral
from 2 to 6 left parenthesis x squared minus 4 right parenthesis
dx.

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