2.3 Übungen

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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

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