[br]Haben die Folge der Obersummen und die Folge der Untersummen einen gemeinsamen Grenzwert, so nennen wir diesen Grenzwert [b]das Integral von [math]f[/math] von [math]a[/math] bis [math]b[/math][/b].[br][br][img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATgAAABgCAYAAACJ1W5EAAAM0UlEQVR4Ae2dDZKsKgyFe10uyPW4GjfjYpgKEIkiGhFahj6v6tV1bJDkIx6RPz8G/4EACIBApwQ+nfoFt0AABEDAQOAQBCAAAt0SgMB1W7VwDARAAAKHGAABEOiWAASu26qFYyAAAhA4xAAIgEC3BCBw3VYtHAMBEIDAIQZAAAS6JQCB67Zq4RgIgAAEDjEAAiDQLQEIXLdVC8dAAAQgcIgBEACBbglA4LqtWjgGAiAAgUMMgAAIdEsAAtdt1cIxEACBSgI3m/HzMZ/PYKYFkEEABEDgHQKVBM4Ys0xmGCYDfXunYlEqCICAqbcf3DINZkDzDTEGAiDwIoFqLbh5HMw0jWagV9VhMvOLTqJoEACB3yRQSeCoD24w40wvqIuZxo8ZoXC/GWHwGgReJFBH4ObRfISi0euq+PNFd1E0CIDALxGoInD29XQdXVjMNGA09ZeCCr6CQCsEKgjcbEY5eorR1FbqGnaAwM8RKC9w8xhGTxcSO7Tefi6q4DAINEKgvMDZQYXBfOzo6WjsOEMjzsIMEACB3yJQQeB+CyC8BQEQaJcABK7duoFlIAACDwlA4B4CRHYQAIF2CUDg2q0bWAYCIPCQwBcEbjE0L84OOtjVDQ8tRnYQAAEQUBKoLnDzSNsmyf9HrEtVVg6SgQAIPCNQV+Boku9G3LBH3LPqQm4QAIE7BKoKHK1BpZ1EFhNeU4cJq+7vVBDSggAI5BOoKnD29RSr7PNrBzlBAAQeEagocLTI3u0Ft667f2QqMoMACIDAPQIVBc5/l0EuvL9nG1KDAAiAwCMC9QXuU2PU1PXp8QDGMCq+/bBMZiq+MJY281SUfbuKFrPMk5nGwQxDDX63DUpmWJbZzNNoN1XAFvVJTEV/AHM9zv8ncOvILC/kdy3Fs5troRuwuLh5yCREJcdNVv/81JqG+zDtINI6St7WrjFb2+Q0pQM7aYPW1Q+fttE3j61fB77o7/0vpXQPa9pVSDK2D+6lfufVFwSuZCUcfI7QBmd6x2CaZFxXI+q04jiQ69peIsbTfa3sw/CaE9TSZ3G7isPgR61nYQna7hrB1r1EvM88eElvIe6bLNQYEZbabdRcvZw1TMKV8o/qCdzaErkKLL3xHKxaKCRu2rR6K+KU2x2M499zzjhfy7HLsUGXJ92CbuFmuxMzlPY1LdbB9qnaZk5GXtf9QWPlFgNd4i8IXKGgWV8jdH1SFvC3XjPkJp867hepfOV/y/4La05/9i3oNr8Q6Vs6qg+QE3NdbJ3y+MaPTTM3YWnmxdOCHz7y+y2l8f0LgVtIQHwfiapF9u0AoPJKipG1//OV1ufTgHJB2qgw8FuEpm4o7cUN+ZRVqfxNM/exq7kfuJWnSZvLrl2BY1D7zl/6+zRgfetHE6zLYkcAh2EvJmLlheY61ta8m5z6KUaaL2j9dK+kLoDF62kpO3OjJJkvxZo6lmf3XdxhMKNs3nlfqNOZ0YYHGA8cUYGhDs7rO2lceE2S5SeS083G9iSSNHK6Zebeto/urW0VuIot53oCJwRK1eo6CZ8VxKmwuQtE4pC6Lj/dVwFlgeLXGi8642xE9+jh1Zx9nP8wycFJGpygkaUhTF/x37BwHbN++klBOw+MeHbK1/FWGEKQS9GmgogTPUzceceLBJ469bmOOVbmyXFX12fkCdejeFBEafgEpb1bf5z3y/82zNzV1VUDJPC6mz7k1B/9A4HjQN23sg6cZDFQCOGae5ndigv/1MkZmLgvcOyTbLE4i/Y3+lM7+XpyiP7smAVmLffkwAVoQhiSdeF9pzqiKTb+6cF2UvnU+nOnmZNGpHaGJsvfpaM/Ke1WpQ8S6U+xL2ec5W99MA8PNp0/XLefzTeU9ZR1KdsXOA5URUcxB5YOsADErc3965RIkj7kikrc6FFGTn/cjD9tsTyyMzLk4YnUq5K7bLIufH0O02Tmdf4gM6HW7By20+K6v/PA8l4lyz/wmtLejpmD69Q/1TBzjk3FfWo5cd0qX2dz2TYvcByo1/0w4ia5eqeMaPnAybiRjLmXd/XnsMXgfUjaca+syM2SJw5flbgArotY9J3/JCirurkWlO1bHcPrupxqwM08vvzlv1y+puVHaTXpLgutn6Bh5mtcK/vT7qbPhdu4wHGgKl5PbwrNHthpy2mfWP7NT65DwZIJ6dgLVOop56911prItnNvysO/Va+nEROuz62gcLDTa2J4Nh2nVZnNrYPkg0JchdJq0oksbx22zNzZpu1/4/tAc18/o922wHGgpgRB+s5po5tKJkod0weq82ZWc8Wqij0VQ6707c2/tTjfzu11nv7lbU04zYIV/Zyoo2OGvowc8UmUc+Q1lX32QDnK8865tplznV+/adE8OT/QlFO3N+HXEzgOsk9+AK0gojvlwEtfXk6wLtQfxPZqylqLZ1GKX8XWJOKAg+DIRju4cbG9VI6dXKbs1D47PrJNuOAOT1ua3PKKmbAtW8QJITstI7Joe0JblzZdbOf2Yvf/Yj/POMvfumDOD++rV9Q13dmD/D7zVI6GBY7F47gzPnLIB/X25olSxSfsLiN0Or4xeapCnMmfuXkTcuDvA9oKl1+3Z3+T6/a48Cd28jUK/esePC5AaSODTRfZTlyW1ZeYrzUnwXBTxnoNrQOJsjbZXZp9XWySNPTHhkfTzNMNmjDf8TviRtX3FYG7LTpkGSu9thlrbywdOBssdF2adyaMYwGinUfmcXfjRsHubyKtfZSfb36ac2U7m1w5ch7YaCfIup6oMnZGhj88IVtcsxgJdZcNDMldydDnE7wph7xxg2GhjFlMJQm/a474dV7MM/TZeHJ1yakhGovy0wQei2mYOce3/Xpe6E01NLnbf1lPtbVZPqgoZ7MC5wI//TSIPLEtMK3Aua1btp3aRwIUl7KesQKsK2/NY4sQy85kp/pBSyYEhex8v2mnLLzIMc8bpJn/Ioj9tVngPquI+x+8f1t9Sz0k+IaWApljfFipEl4JB0M32YHpuwK8Df6Vi1sf77T4/hlz2uRinUBPAw9XzOuxblPg1ifBvf4REoTtDbSL2WJ/uhvzO2UVMxoXuk2AWoE0IdnvJ0gijUq/TVGXoQ7regK3TolQ9qEJCtwKuB1LFIibDiFx0YKHdkDgC+UUNBmXyiFgd4mZzOTrmt4q3mnB5Rj/z/JUYv26wDkxky0131y9rW5UoXU2n5ShQvYiyCWRfo9tN8najUCt9vtdEv3SKetZLdYVBc73r5zOYdv2wcjO37h3Rwd027Gty6NNZa993XmjvRzSNU2AHrRC0Kjb5M6AUtO+tWZcPdYvC5zoMD9YqpNXDbRNj1gGlHeRKFdN4YwKw4n3CewEzbXcZxOmvbxvYjcWVGRdUeBSUwC6qRY40jGBfVeE7X+j0deOfX7LtZqsqwocGf65mtn8FlWUCwIg0D2B+gKHfouOgujpfCWaWJ3+jmyY90dpuA+X1i3udgXuiOi1K2B+zSidoqjAuRYbTexzM/Xt31mjoWmD8cvbBB7OV6LpAPtJwOSSnSbghpbspFr7HU3u5HcTdn83lMA8N+oLChw/aXhLavfv7wZlbpU0nq/AfCX3INyuhLDrcYXr8ZwzGjzKHVsXF/6Ph2CeXWsFBU6+UnxvO5Rsz5Exi8DpfCW/HCssi9o+7I7O8wNwK3Bu2gD/5gz9XYED86xQtZkKCpx/zfBr0L69qDYfAXLqCTjhWRtSu+F97XW4BTfJOYViFYr9ndYvDmHNKE3T2QqetrT/ng7Mn9RgWYF7Ygnytk9gJ2gkRLT1+K25Yak+ODsl0m2CQH24VkQprX1g/vAgA5g/ui8gcI/w/VZmJ2ihH+z+3LDzUdTfoqnzFsx1nFKpIHApMjgPAiDw7wlA4P59FcIBEACBFAEIXIoMzoMACPx7AhC4f1+FcAAEQCBFAAKXIoPzIAAC/55APYGjD7rYb43SRz8mM2DR/b8PFjgAAv+NQB2Bo7k7tFmgn8hpF1H/5izN/xYPsBcEuiJQQeDcki2pZ/G6wq4YwhkQAIFGCZQXuOjLQyR4vCtEoxRgFgiAQJcEigsctdZk682tK0zvAdYlVTgFAiDQBIE6AmcXEtIeXpOZ6COwdr1iE/7CCBAAgR8iUFzg7MaF/gMyNMawrlcMSxh/CC9cBQEQeJNAeYF70xuUDQIgAAKCAAROwMAhCIBAXwQgcH3VJ7wBARAQBCBwAgYOQQAE+iIAgeurPuENCICAIACBEzBwCAIg0BcBCFxf9QlvQAAEBAEInICBQxAAgb4IQOD6qk94AwIgIAhA4AQMHIIACPRFAALXV33CGxAAAUEAAidg4BAEQKAvAhC4vuoT3oAACAgCEDgBA4cgAAJ9EYDA9VWf8AYEQEAQgMAJGDgEARDoi8AfXKozzS5WCswAAAAASUVORK5CYII=[/img]