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Integration by Substitution Exercises
Exercises from public domain textbooks. Solutions where provided do not necessary follow the same lines as the original.
Solutions are not given for exercises whose number is not linked
Some exercises which do not have a textbook solutions are worked: beware of errors.
C98-9. {$\displaystyle \int \sqrt{3x + 2}dx $} hint answer worked
C98.10 {$ \displaystyle \int {{dx} \over {3x + 2}} $} answer worked
C98-11. {$\displaystyle \int {{dx} \over {1+(3x+2)^2}} $} answer worked
C98-12. {$\displaystyle \int x\sqrt{4+x^2}dx $} hint answer worked
C98-13. {$\displaystyle \int {{xdx} \over{4+x^2}} $} answer worked
C98-14. {$\displaystyle \int \sin x \sqrt {\cos x}dx $} hint answer worked
C98-15. {$\displaystyle \int \cos x \sqrt {\sin x}dx $} answer worked
C98-16. {$\displaystyle \int \cos x(1 + 4\sin x + 9\sin^2x )dx $} answer worked
C98-17. {$ \displaystyle \int \sin^3 x dx$} answer worked
Sources:
- Elements of the Differential and Integral Calculus Wikisource
- Calculus Made Easy by Silvanus P. Thompson Project Gutenberg
- Davis,Ellery Williams, William Charles Brenke, Earle Raymond Hedrick. The Calculus (Macmillan Company, 1922) Google Books
- Love, Clyde E., Earl David Rainville Differential and Integral Calculus (Macmillian, 1916) Google Books
Recommended:
Category: Math Calculus Integration
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December 23, 2018
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