Question

Найдите все первообразные функции y=x7 помогите)

Answer 1

F(x)=1/8*x^8+C
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Answer 2

Finding the Antiderivative of y = x^7

To find the antiderivative of the function y = x^7, we can use the power rule for integration. The power rule states that the antiderivative of x^n is (1/(n+1)) * x^(n+1), where n is any real number except -1.

Applying the power rule to the function y = x^7, we have:

∫ x^7 dx = (1/8) * x^8 + C

where C is the constant of integration.

Therefore, the antiderivative of y = x^7 is (1/8) * x^8 + C.

Please let me know if you have any further questions!