Berekenen van bepaalde integralen
10\(\int_{-1}^{\,3} dx\) 11\(\int_{\,0}^{\,1} e^x \,dx\)
12\(\int_{\,1}^{\,e} \ln x \:dx\) 13\(\int_{-\infty}^{0} 2^x \,dx\)
14\(\int_{\,0}^{\frac{\pi}6} \sin 2x \:dx\) 15\(\int_{-\infty}^{0} e^{2x} \,dx\)
16\(\int_{\,1}^{+\infty} e^{-x} \,dx\) 17\(\int_{,0}^{\ln 3} e^{2x} \,dx\)
18\(\int_{-1}^{+1}\frac {2} {1\,+\,x^2}dx \) 19\(\int_{-\infty}^{+\infty}\frac {dx} {e^x\,+\,e^{-x}} \)
20\(\int_{-2}^{-1}\frac {1} {x^3}\, dx \)
30\(\int_{1}^{3}\frac{2}{4x-3}\, dx \) 31\(\int_{0}^{3}\frac{dx}{\sqrt{1+x}}\)
32\(\int_{0}^{2\pi}\left |\sin x\right |\, dx \) 33\(\int_{\pi}^{\frac{\pi}{2}}\left |\sin x\right |\, dx \)
34\(\int_{0}^{3}\left |\ x-1 \right |\, dx \) 35\(\int_{0}^{3}\left |\ x-2 \right |\, dx \)
36\(\int_{0}^{\pi}\left |\ \cos x \right |\, dx \) 37\(\int_{0}^{\frac{3\pi}{2}}\left |\ \cos x \right |\, dx \)
38\(\int_{-\frac {\pi}2}^{+\frac {\pi}2} x.\cos x\,dx \) 39\(\int_{-\infty}^{+\infty} e^{-\,\frac {x^2} {2}}\,dx \)
40\(\int_{0}^{2}\:(1+|x|\,) \, dx \)
41 \(\int_{-3}^{+3}\left |\: f(x) \, \right |\, dx \)
42\(\int_{0}^{2\pi} |\sin x|\; dx +\int_{-1}^{3}|x|\;dx \)
43\(\int_{\pi}^{2\pi} \sin x\; dx +\int_{\pi}^{2\pi}|\sin x|\;dx \)
44foute bep.integraal
45f(π) uit f '(x) en f(0)=2
46\(\int_{0}^{b} f(x)\; dx\)
47 \(\int_{-1}^{+1} \frac{1}{(1\,+\,x^2)(e^x\,+\,1)}\; dx\)
49 \(\int_{0}^{\frac{\pi}2} \frac{\cos x}{\cos x\:+\:\sin x}\; dx\)
50 \(\int_{1}^{3} \frac{\sqrt x}{\sqrt{4\,-\,x}\:+\,\sqrt x}\; dx\)
51 \(\int_{0}^{\pi} x.f(\sin x)\; dx\)
52 \(\int_{0}^{1} \frac{1}{\sqrt{-\ln x}}\; dx\)
53\(\int_{a}^{\frac 1a}\, \frac{\ln x}{x}\; dx\)
54\(\int_{1}^{2}\frac{\ln x}{x^2}\; dx\)
55 \(\int_{0}^{2}\frac{x^3}{x^3\,+\,(2-x)^3}\; dx\)
56 \(\int_{0}^{2}\frac{e^x\:-\:e^{-x}}{e^x\:+\:e^{-x}}\; dx\)
57 \(\int_0^\pi \frac {\cos^4x} {\cos^4x\:+\:\sin^4x} \;dx \) new
58 \(\int_{0}^{\frac{\pi}{2}}\frac{1}{(1+\,x.\tan x)^2}\; dx \) new
59 \(\int_{0}^{4}\frac{1}{x\;+\,\sqrt{x}}\; dx\) new


➔ Onbepaalde integralen

  Indefinite integrals

➔ Bepaalde integralen
  - enkel berekenen -

  Definite integrals, only calculating


➔ Bepaalde integralen
- berekenen van oppervlaktes -

  Definite integrals - calculation of areas


➔ Bepaalde integralen
- berekenen inhouden + VARIA

  Definite integrals : volumes + VARIA





search engine for diseases

→ telling vanaf 1 jan. 2021 ←