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Onbepaalde I n t e g r a l e n
indefinite integrals
10 \int \sqrt x \:\: dx |
11\int \frac {2} {e^x}\,dx |
12\int \tan^2\! x \:\; dx  |
13primitieve functie |
20 \int \frac{1}{(3\,-\,x)^5}\: dx |
21\int \frac{20}{(5x\,+\,8)^3}\: dx |
| 22\int \frac{6}{\sqrt {3x\,-\,1}}\: dx |
23 \int \frac {45}{\sqrt{4\,-\,5x }}\,dx |
| 24\int \tan x\; dx |
25\int \cot 3x\; dx |
| 26\int \frac{1}{e^{\,2x}}dx |
27∫ e1-3x dx |
| 28\int\frac {4} {\sqrt{4\,-\,x^2}}dx |
29\int\frac {\sqrt x} {x^2}dx |
| 30\int\! \frac{5}{4x^2\,+\,1}\: dx |
31\int \frac{1\,-\,\sin^3x}{\sin^2x}\,dx |
| 32\int \frac{\tan \frac x2}{1\,+\,\tan^2 \frac x2}dx |
33\int \frac{1}{\sin^2\,(3x\,+\,1)}\: dx |
| 34\int x.\cos\,(x^2)\,dx |
35\int \cot^2\!x\;dx |
| 36\int \frac{\sin 2x}{\cos 2x}\;dx |
37
f(π) uit f '(x) en f(0)=2 |
| 38\int \frac{1}{\sin^2\!x\,.\,\cos^2\!x}\: dx |
39 L a t e r |
| 40\int \frac{1}{3x^2\,+\:1}\;dx |
41\int\frac{e^{3x}}{e^{3x}-1}\;dx |
| 42 \int \frac{\ln x}{x^2} \; dx |
43\int \frac{1}{\cos^2\left ( \frac x3\,+\:1\right )}\;dx |
| 44\int \frac{1}{x^2\,+\:a^2}\;dx |
45\int 2(2x+5)^4\;dx |
50
\int x^2\cdot e^{2x}\: dx
51 ?=\frac 13\tan^3x + C
52 \int \frac{x^3\:+\;1}{x^4\,+\:x^3\,+\:x^2\,+\:x}\;dx
53 \int \frac{\sin x}{\sin x\:-\:\cos x}\;dx
54 \int \frac{\sin^8x\:-\,\cos^8x}{1\,-\,2.\sin^2x\,.\,\cos^2x}\;dx
55 \int \left ( \sqrt{\tan x}+\sqrt{\cot x} \right )dx
56 \int \frac{1}{\sqrt{(1\,-\,x^2)^3}}dx
57 Raar maar waar !
→ telling vanaf 15 aug 2024 ←