3.5.E: Exercises
- Page ID
- 157589
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3.5 Exercises
For problems 1-8, find the indicated antiderivative.
| 1. \(\int \frac{1}{(4x+1)^3} dx\) | 2. \(\int e^{100x} dx\) |
| 3. \(\int (1.0003)^{12t} dt\) | 4. \(\int \frac{e^{10/x}}{x^2} dx\) |
| 5. \(\int \sqrt{w+5} dw\) | 6. \(\int 6x^2 \sqrt{3x^3-1} dx\) |
| 7. \(\int \frac{dx}{x\ln x}\) | 8. \(\int \frac{x-3}{x^2-6x+5} dx\) |
For problems 9-12, find an antiderivative of the integrand and use the Fundamental Theorem to evaluate the definite integral.
| 9. \(\int^2_{-2} \frac{2x}{1+x^2} dx\) | 10. \(\int^1_0 e^{2x} dx\) | 11. \(\int^{4}_2 (x-2)^3 dx\) | 12. \(\int^1_0 x \sqrt{1-x^2} dx\) |