Indefinite Integration - Revision facilitator -Substitution Method

Integration by substitution

Write the substitution expression used for these integrations

1. Integrals of the form [f '(x)/f(x)]dx


2. Integrals of the functional form 1/(x²±a²)


3. Integrals of the form [1/(ax²+bx+c)]dx


4. Integrals of the form [1/√(ax²+bx+c)]dx


5. Integrals of the form [(px+q)/(ax²+bx+c)]dx


6. Integrals of the form [(px+q)/√(ax²+bx+c)]dx


7. Integrals of the functional form [P(x)/(ax²+bx+c)]dx




8. Integrals of √(a²±x²) and √(x²-a²)


9. Integrals of the functions of the form √(ax²+bx+c)dx


10. Integrals of the functions of the form (px+q)[√(ax²+bx+c)]dx


11. Integration of [(x²+1)/(x^4+λx²+1)]dx


12. Integration of Function [G(x)/(P√Q)]dx


13. Integrals of the form sin ^m x cos ^n x dx


14. Integrals of the functional form [1/(a sin²x + b cos²x +c)]dx


15. Integrals of the functional form [1/(a sin x + b cos x +c)]dx


16. Integrals of the functional form [(a sin x + b cos x)/(c sin x + d cos x)]dx


17. Integrals of [(a sin x+b cos x +c)/(p sin x + q cos x +r)] dx