Q18:

Find the following integrals 18. $\int \sec x (\sec x + \tan x) dx$

More Questions from Class 12 Mathematics Integrals EXERCISE 7.1

• Q1: Find an anti derivative (or integral) of the following functions by the method of inspection. 1. $\sin 2x$
• Q2: Find an anti derivative (or integral) of the following functions by the method of inspection. 2. $\cos 3x$
• Q3: Find an anti derivative (or integral) of the following functions by the method of inspection. 3. $e^{2x}$
• Q4: Find an anti derivative (or integral) of the following functions by the method of inspection. 4. $(ax + b)^2$
• Q5: Find an anti derivative (or integral) of the following functions by the method of inspection. 5. $\sin 2x - 4e^{3x}$
• Q6: Find the following integrals in Exercises 6 to 20: 6. $\int (4e^{3x} + 1) dx$
• Q7: Find the following integrals in Exercises 6 to 20: 7. $\int x^2(1 - \frac{1}{x^2}) dx$
• Q8: Find the following integrals 8. $\int (ax^2 + bx + c) dx$
• Q9: Find the following integrals 9. $\int (2x^2 + e^x) dx$
• Q10: Find the following integrals 10. $\int (\sqrt{x} - \frac{1}{\sqrt{x}})^2 dx$
• Q11: Find the following integrals 11. $\int \frac{x^3 + 5x^2 - 4}{x^2} dx$
• Q12: Find the following integrals 12. $\int \frac{x^3 + 3x + 4}{\sqrt{x}} dx$
• Q13: Find the following integrals 13. $\int \frac{x^3 - x^2 + x - 1}{x - 1} dx$
• Q14: Find the following integrals 14. $\int (1 - x)\sqrt{x} dx$
• Q15: Find the following integrals 15. $\int \sqrt{x} (3x^2 + 2x + 3) dx$
• Q16: Find the following integrals 16. $\int (2x - 3\cos x + e^x) dx$
• Q17: Find the following integrals 17. $\int (2x^2 - 3\sin x + 5\sqrt{x}) dx$
• Q19: Find the following integrals 19. $\int \frac{\sec^2 x}{\csc^2 x} dx$
• Q20: Find the following integrals 20. $\int \frac{2 - 3\sin x}{\cos^2 x} dx$
• Q21: Choose the correct answer 21. The anti derivative of $(\sqrt{x} + \frac{1}{\sqrt{x}})$ equals
• Q22: Choose the correct answer 22. If $\frac{d}{dx} f(x) = 4x^3 - \frac{3}{x^4}$ such that $f(2) = 0$. Then $f(x)$ is