2.3 Exercises
From Förberedande kurs i matematik 2
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Revision as of 13:16, 16 September 2008
| Theory | Exercises |
Exercise 2.3:1
Calculate the integrals
| a) | \displaystyle \displaystyle\int 2x e^{-x} \, dx | b) | \displaystyle \displaystyle\int(x+1) \sin x \, dx |
| c) | \displaystyle \displaystyle\int x^2 \cos x \, dx | d) | \displaystyle \displaystyle\int x \ln x \, dx |
Answer
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Solution a
Solution b
Solution c
Solution d
Exercise 2.3:2
Calculate the integrals
| a) | \displaystyle \displaystyle\int e^{\sqrt x}\, dx | b) | \displaystyle \displaystyle\int_{0}^{1} x^3 e^{x^2} \, dx |
| c) | \displaystyle \displaystyle\int \tan x \, dx | d) | \displaystyle \displaystyle\int \ln x\, dx |
Answer
Solution a
Solution b
Solution c
Solution d
