Question

Integrate with respect to x :
∫3−1 x/√7+x^2 dx
note 3 -1 means that 3 superscript, -1subcript

22√
42√
4−22√
2√

Answer 1

Answer on Question #46128 – Math – Integral Calculus

Integrate with respect to $x$:

$$\int_{3-1}^{x}/\sqrt{7}+x^2 \, dx$$

note 3-1 means that 3 superscript, -1 subscript

22√

42√

4-22√

2√

Answer.

$$\int_{-1}^{3} \frac{x}{\sqrt{7+x^2}} \, dx = \frac{1}{2} \int_{-1}^{3} \frac{d(7+x^2)}{\sqrt{7+x^2}} = \sqrt{7+x^2} \left| \frac{x=3}{x=-1} = 4 - 2\sqrt{2} \right.$$

(answer #3)

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