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Moderate Tan, Cot, Sec Worksheets - Загрузите бесплатные PDF-файлы

Интегралы

Moderate

Tan, Cot, Sec

1. \int \sec^{3}(x)\cos(x)dx

1. \int \sec^{3}(x)\cos(x)dx

2. \int \frac{\sec(x)}{\cos(x)}dx

2. \int \frac{\sec(x)}{\cos(x)}dx

3. \int 1+\tan^{2}(x)dx

3. \int 1+\tan^{2}(x)dx

4. \int \sin(x+\frac{\pi}{2})dx

4. \int \sin(x+\frac{\pi}{2})dx

5. \int \sin(\pi-x)dx

5. \int \sin(\pi-x)dx

6. \int \frac{\cos^{2}(x)}{\sin^{2}(x)}

6. \int \frac{\cos^{2}(x)}{\sin^{2}(x)}

7. \int \cos^{3}(x)+\sin^{2}(x)\cos(x)dx

7. \int \cos^{3}(x)+\sin^{2}(x)\cos(x)dx

8. \int \cot(\theta)\sin(\theta)d\theta

8. \int \cot(\theta)\sin(\theta)d\theta

9. \int \frac{\sec(x)\sin^{2}(x)}{1+\sec(x)}dx

9. \int \frac{\sec(x)\sin^{2}(x)}{1+\sec(x)}dx

10. \int \sec^{4}(x)\cos^{2}(x)dx

10. \int \sec^{4}(x)\cos^{2}(x)dx

Answers

Интегралы

Moderate

Tan, Cot, Sec

1. \tan(x)+C

2. \tan(x)+C

3. \tan(x)+C

4. \sin(x)+C

5. -\cos(x)+C

6. -\cot(x)-x+C

7. \sin(x)+C

8. \sin(θ)+C

9. x-\sin(x)+C

10. \tan(x)+C