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Find $$\int (x^2 + x^3) \, dx$$ - AQA - A-Level Maths Pure - Question 4 - 2022 - Paper 3

Question 4

$Find-$$\int-(x^2-+-x^3)-\,-dx$$-AQA-A-Level Maths Pure-Question 4-2022-Paper 3.png$

Find $$\int (x^2 + x^3) \, dx$$

Worked Solution & Example Answer:Find $$\int (x^2 + x^3) \, dx$$ - AQA - A-Level Maths Pure - Question 4 - 2022 - Paper 3

Step 1

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Answer

The integral of $x^2$ is given by:

$\int x^2 \, dx = \frac{x^3}{3} + C_1$

where $C_1$ is a constant of integration.

Step 2

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Answer

The integral of $x^3$ is given by:

$\int x^3 \, dx = \frac{x^4}{4} + C_2$

where $C_2$ is another constant of integration.

Step 3

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101 rated

Answer

Combining the results of the integrals, we have:

$\int (x^2 + x^3) \, dx = \frac{x^3}{3} + \frac{x^4}{4} + C$

where $C$ is the overall constant of integration.

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