Qualifier 4

$$\lim_{h\to0}\frac{1}{h}\int\{f(x+h)-f(x)\}dx$$
ただしf(x)は多項式

$$\int_0^1\sqrt{1-x^2}dx$$

$$\int_5^7\frac{\log_2x}{\log_4x}dx$$

$$\int\sqrt{x}dx$$

$$\int_{-\pi}^\pi\sin{x}dx$$

$$\int\frac{x^4+4}{x^2+2x+2}dx$$

$$\int_0^{10}[x]dx$$
(ただし[ ]はガウス記号)

$$\int ^{\frac{3}{2}} _{-\frac{5}{3}}{(6x^2+x-15)}dx$$

$$\int dx$$

$$\int^\sqrt2_{-\sqrt2}\sin x\cos x\{\tan x+\tan{(\frac{\pi}{2}-x)}\}dx$$

$$\int^2_0[2^x]dx$$
ただし[]はガウス記号

$$\int-\frac1{x^2}dx$$