- #1

askor

- 169

- 9

How do you you integrate expressions like these?

1. ##\frac{1}{\sqrt{x^3 + 3}}##

2. ##\frac{1}{\sqrt{x^4 + 3}}##

3. ##\frac{1}{x \sqrt{x^5 + 3}}##

4. ##\frac{1}{x^2 \sqrt{x^3 + 3}}##

5. ##\frac{1}{x^3 \sqrt{x^3 + 3}}##

6. ##\frac{1}{x^4 \sqrt{x^3 + 3}}##

7. ##\frac{1}{x^5 \sqrt{x^3 + 3}}##

Does trigonometry substitution still eligible?

If not, what method to integrates these expressions?

1. ##\frac{1}{\sqrt{x^3 + 3}}##

2. ##\frac{1}{\sqrt{x^4 + 3}}##

3. ##\frac{1}{x \sqrt{x^5 + 3}}##

4. ##\frac{1}{x^2 \sqrt{x^3 + 3}}##

5. ##\frac{1}{x^3 \sqrt{x^3 + 3}}##

6. ##\frac{1}{x^4 \sqrt{x^3 + 3}}##

7. ##\frac{1}{x^5 \sqrt{x^3 + 3}}##

Does trigonometry substitution still eligible?

If not, what method to integrates these expressions?

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