Ushtrimi 1

Njehsoni integralet e mëposhtme.

Argumentoni përgjigjen për secilin rast.

a) $\int_{2}^{4}(x+1)\mathrm{d}x$

b) $\int_{1}^{5}(2x-1)\mathrm{d}x$

c) $\int_{0}^{3}(4-x)\mathrm{d}x$

d) $\int_{-2}^{6}(1-3x)\mathrm{d}x$

e) $\int_{-2}^{3}7\mathrm{d}x$

f) $\int_{1}^{7}\pi\mathrm{d}x$

g) $\int_{1}^{3}(\pi+1)\mathrm{d}x$

h) $\int_{0}^{3}(3x^{2}+4x+1)\mathrm{d}x$

i) $\int_{-3}^{3}(x^{2}-6x-1)\mathrm{d}x$

j) $\int_{-1}^{1}(1-x-x^{2})\mathrm{d}x$

k) $\int_{\sqrt{2}}^{\sqrt{3}}x^{3}\mathrm{d}x$

l) $\int_{1}^{1,5}\left(x+\frac{1}{x^{2}}\right)\mathrm{d}x$

m) $\int_{-1}^{0}(x^{3}+2x+3)\mathrm{d}x$

n) $\int_{\frac{25}{4}}^{\frac{25}{4}}\frac{1}{\sqrt{x}}\mathrm{d}x$

o) $\int_{2}^{5}4\pi x^{2}\mathrm{d}x$

p) $\int_{\sqrt{3}}^{\sqrt{5}}(x^{3}+x)\mathrm{d}x$

q) $\int_{-3}^{3}(x^{3}-2x)\mathrm{d}x$

r) $\int_{\frac{1}{4}}^{\frac{1}{2}}\frac{\pi}{x^{2}}\mathrm{d}x$