Question

Integrate with respect to x :
∫10 xdx
4
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Answer 1

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Answer on Question #46049 – Math – Integral Calculus

Question:

Integrate with respect to $x$ :

$$\int 10\,x\,dx$$

Solution:

$$\int x^n\,dx = \frac{x^{n+1}}{n+1} + C, \quad \text{if } n \neq -1$$

Then

$$\int 10\,x\,dx = 10 \cdot \frac{x^2}{2} + C = 5 \cdot x^2 + C,$$

where $C$ is an arbitrary real constant.