Question

S(7x⁶+6x⁵+5x⁴+4x³+6x²+7)dx​

Answer 1

Пошаговое объяснение:

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Answer 2

Ответ:

dsx(7x^6+6x^5+5x^4+4x^3 +6x^2 +7)

7dsx^7+6dsx^6+5dsx^5+4dsx^4+6dsx^3+7dsx

Answer 3

To integrate the expression ∫(7x^6 + 6x^5 + 5x^4 + 4x^3 + 6x^2 + 7) dx, you can use the power rule of integration, which states that:

∫x^n dx = (1/(n+1)) * x^(n+1) + C,

where C is the constant of integration.

Applying this rule to each term in the expression:

∫(7x^6 + 6x^5 + 5x^4 + 4x^3 + 6x^2 + 7) dx = (7/7) * x^(6+1) + (6/6) * x^(5+1) + (5/5) * x^(4+1) + (4/4) * x^(3+1) + (6/6) * x^(2+1) + (7/7) * x^(0+1) + C

Now, simplify each term:

(7/7) * x^7 + (6/6) * x^6 + (5/5) * x^5 + (4/4) * x^4 + (6/6) * x^3 + (7/7) * x + C

Simplify further:

x^7 + x^6 + x^5 + x^4 + x^3 + x + C

So, the integral ∫(7x^6 + 6x^5 + 5x^4 + 4x^3 + 6x^2 + 7) dx is equal to:

x^7 + x^6 + x^5 + x^4 + x^3 + x + C, where C is the constant of integration.