2.3 Exercises

From Förberedande kurs i matematik 2

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===Övning 2.3:1===
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===Exercise 2.3:1===
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Beräkna integralerna
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Calculate the integrals
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</div>{{#NAVCONTENT:Svar|Svar 2.3:1|Lösning a|Lösning 2.3:1a|Lösning b|Lösning 2.3:1b|Lösning c|Lösning 2.3:1c|Lösning d|Lösning 2.3:1d}}
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===Övning 2.3:2===
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===Exercise 2.3:2===
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Beräkna integralerna
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Calculate the integrals
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</div>{{#NAVCONTENT:Answer|Answer 2.3:2|Solution a|Solution 2.3:2a|Solution b|Solution 2.3:2b|Solution c|Solution 2.3:2c|Solution d|Solution 2.3:2d}}

Current revision

       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
Answer 2.3:1
Solution a
Solution 2.3:1a
Solution b
Solution 2.3:1b
Solution c
Solution 2.3:1c
Solution d
Solution 2.3:1d

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
Answer 2.3:2
Solution a
Solution 2.3:2a
Solution b
Solution 2.3:2b
Solution c
Solution 2.3:2c
Solution d
Solution 2.3:2d
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