Pismeni zadaci

Zadatak 1964

Test: MPsIVVAIII_339

O Izračunaj:

a) $$\int \frac{\sqrt{x^3}+1}{\sqrt{x}+1}dx$$

b) $$\int (x^2-3x+5)\ln x dx$$

Zadatak 0031

Test: MPsIVKVIII_006

Reši integrale: a) \(\int \left (x ^{6}-\sqrt[5]{x}+\frac{1}{x^3} \right )dx\);  b) \(\int \frac{2\cos ^{2}+1}{\cos ^{2}x}dx\).

Rešenje:

Opširnije: Zadatak 0031

Zadatak 1886

Test: MPsIVVAIII_323

O Izračunaj:

a) $$\int \left ( 1-\frac{1}{x^2} \right )\sqrt{x\sqrt{x}}dx$$

b) $$\int \frac{dx}{e^x+e^{-x}}$$

c) $$\int \sqrt{x}\ln ^2xdx$$