Pismeni zadaci

Zadatak 1965

Test: MPsIVVAIII_339

 

S Izračunaj:

a) $$\int_{1}^{e^2}x(\ln^2x-3\ln x+3)dx$$

b) $$\int_{0}^{\frac{\pi }{4}}\frac{\sin x\cos xdx}{3\sin ^2x+5\cos ^2x}$$

Zadatak 1887

Test: MPsIVVAIII_323

 

S Izračunaj:

a) $$\int_{0}^{4}\sqrt{1+\frac{9}{4}x}\; dx$$

b) $$\int_{\frac{\pi }{4}}^{\frac{\pi }{2}}\frac{1+\tan ^2x}{(1+\tan x)^2}dx$$

c) $$\int_{1}^{e}(\ln x)^2 dx$$

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