Exercise 1

 Using the infinite primitive functions of y = x² − x + 1, for what values of the function does x = 3 take the value of 5?

Exercise 2

Write the primitive function of y = x² + 2x whose graph passes through the point (1, 3).

Exercise 3

 Find the function F(x) whose derivative is f(x) = x + 6 and for x = 2 takes the value of 25.

Exercise 4

Find a line whose slope is 2 and passes through the point P (0, 4).

Exercise 5

Calculate the equation of the curve through P (1, 5) and whose slope at any point is 3x² + 5x − 2.

Exercise 6

Find the antiderivative of the function , which is annuled for x = 2.

Solution of exercise 1

Using the infinite primitive functions of y = x² − x + 1, for what values of the function does x = 3 take the value of 5?

x = 3 y = 5

Solution of exercise 2

Write the primitive function of y = x² + 2x whose graph passes through the point (1, 3).

Solution of exercise 3

Find the function F(x) whose derivative is f(x) = x + 6 and for x = 2 takes the value of 25.

Solution of exercise 4

Find a line whose slope is 2 and passes through the point P (0, 4).

f '(x) = 2

f(x) = 2x + C

4 = 2 · 0 + C

f(x) = 2x + 4

Solution of exercise 5

Calculate the equation of the curve through P (1, 5) and whose slope at any point is 3x² + 5x − 2.

Solution of exercise 6

Find the antiderivative of the function , which is annuled for x = 2.

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Emma

I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.