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Integrals EXERCISE 7.9 Solutions
- Q1: Evaluate the integrals in Exercises 1 to 8 using substitution. 1. $\int_{0}^{1} \frac{x}{x^2+1} dx$
- Q2: Evaluate the integrals in Exercises 1 to 8 using substitution. 2. $\int_{0}^{\frac{\pi}{2}} \sqrt{\sin \phi} \cos^5 \phi d\phi$
- Q3: Evaluate the integrals in Exercises 1 to 8 using substitution. 3. $\int_{0}^{1} \sin^{-1} (\frac{2x}{1+x^2}) dx$
- Q4: Evaluate the integrals in Exercises 1 to 8 using substitution. 4. $\int_{0}^{2} x \sqrt{x+2} dx$ (Put $x+2 = t^2$)
- Q5: Evaluate the integrals in Exercises 1 to 8 using substitution. 5. $\int_{0}^{\frac{\pi}{2}} \frac{\sin x}{1+\cos^2 x} dx$
- Q6: Evaluate the integrals in Exercises 1 to 8 using substitution. 6. $\int_{0}^{2} \frac{dx}{x+4-x^2}$
- Q7: Evaluate the integrals in Exercises 1 to 8 using substitution. 7. $\int_{-1}^{1} \frac{dx}{x^2+2x+5}$
- Q8: Evaluate the integrals in Exercises 1 to 8 using substitution. 8. $\int_{1}^{2} (\frac{1}{x} - \frac{1}{2x^2}) e^{2x} dx$
- Q9: Choose the correct answer in Exercises 9 and 10. 9. The value of the integral $\int_{\frac{1}{3}}^{1} \frac{(x-x^3)^{\frac{1}{3}}}{x^4} dx$ is
- Q10: Choose the correct answer in Exercises 9 and 10. 10. If $f(x) = \int_{0}^{x} t \sin t dt$, then $f'(x)$ is
Other Exercises for CBSE - Class 12 Mathematics Integrals
- Integrals Class 12 EXERCISE 7.1
- Integrals Class 12 EXERCISE 7.10
- Integrals Class 12 EXERCISE 7.2
- Integrals Class 12 EXERCISE 7.3
- Integrals Class 12 EXERCISE 7.4
- Integrals Class 12 EXERCISE 7.5
- Integrals Class 12 EXERCISE 7.6
- Integrals Class 12 EXERCISE 7.7
- Integrals Class 12 EXERCISE 7.8
- Integrals Class 12 Miscellaneous Exercise on Chapter 7
Chapters in CBSE - Class 12 Mathematics
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