11. The first is for the antiderivative, and the second is for the definite integral . 12. The "'multiple integral "'is a generalization of the definite integral to variable, for example, or. 13. Other topics Sonin studied include Bernoulli polynomials and approximate computation of definite integrals , continuing Russian. 14. In his quarterly papers, Ramanujan drew up theorems to make definite integrals more easily solvable. 15. :: Check out the limits on the first question; we want a specific definite integral . 16. By the properties of definite integrals , this defines a symmetric bilinear form on " V ". 17. The final definite integral is also correct. 18. I know how to take definite integrals of polynomials and indefinite integrals of trigonometric functions, but this! 19. In numerical analysis, "'Simpson's rule "'is a method for numerical integration, the numerical approximation of definite integrals . 20. Furthermore, when evaluating definite integrals using the fundamental theorem of calculus, the constant will always cancel with itself.