Ushtrimi 3

Gjeni integralet e mëposhtme.

a) $\int \pi \mathrm{d}x$

b) $\int (3\pi + x) \mathrm{d}x$

c) $\int (x^2 \sin 30^\circ) \mathrm{d}x$

d) $\int (x^2 + 6x) \mathrm{d}x$

e) $\int (4x^2 + 4x - 28) \mathrm{d}x$

f) $\int \left( x^2 + \frac{1}{x^2} \right) \mathrm{d}x$

g) $\int \left( \sqrt{x} - \frac{2}{\sqrt{x}} \right) \mathrm{d}x$

h) $\int \left( 8x - \frac{3}{x^2} \right) \mathrm{d}x$

i) $\int \left( \frac{1}{x^3} - \frac{1}{x^4} \right) \mathrm{d}x$

j) $\int \left( \frac{1}{x^2} - x - \frac{1}{x^3} \right) \mathrm{d}x$

k) $\int x + \frac{1}{\sqrt{x}} \mathrm{d}x$

l) $\int \left( x^2 - \frac{3}{\sqrt{x}} + 1 \right) \mathrm{d}x$

m) $\int \left( \frac{1}{x^2} + \frac{3}{x^3} \right) \mathrm{d}x$

n) $\int \left( x \sin \frac{\pi}{3} + x^2 \sin \frac{\pi}{6} \right) \mathrm{d}x$

o) $\int 3x^2 - \frac{1}{\sqrt{x^3}} \mathrm{d}x$

p) $\int \left( \frac{x^2 - x}{x} \right) \mathrm{d}x$

q) $\int \frac{x}{\sqrt{x}} \mathrm{d}x$

r) $\int \frac{x+1}{\sqrt{x}} \mathrm{d}x$