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2.3 Exercises

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Exercises

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

Solution a

Solution b

Solution c

Solution d

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