Question

a^2- 2a+b-a+〖3a〗^2+b+2a
ayuda

Answer 1

A^2 - 2 a + b - a + (3 a)^2 + b + 2 a

Result:

9 a^2 - a + A^2 + 2 b

Result:

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2 b + A^2 + 9 a^2 - a

Geometric figure:

Properties

line

Alternate forms:

a (9 a - 1) + A^2 + 2 b

1\/36 (18 a - 1)^2 + 1\/36 (36 A^2 + 72 b - 1)

Real root:

b = 1\/2 (-9 a^2 + a - A^2)

Root:

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b = 1\/2 (-9 a^2 + a - A^2)

Polynomial discriminant:

Delta_a = -36 A^2 - 72 b + 1

Integer root:

a = n_1,   A = 2 n_2,   b = -(9 n_1^2)\/2 + n_1\/2 - 2 n_2^2,   n_1  element Z, n_2  element Z

Derivative:

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d\/da(A^2 - 2 a + b - a + (3 a)^2 + b + 2 a) = 18 a - 1

Indefinite integral:

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integral (-a + 9 a^2 + A^2 + 2 b) da = 3 a^3 - a^2\/2 + a A^2 + 2 a b + constant

Definite integral over a cube of edge length 2 L:

integral_(-L)^L integral_(-L)^L integral_(-L)^L (-a + 9 a^2 + A^2 + 2 b) db dA da = (80 L^5)\/3

Explicación paso a paso: