Eksempel 7.5 i iBog B2 (forskellen p\303\245 areal og bestemt integral)LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2JVEocmVzdGFydEYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJw==QyQtSSV3aXRoRzYiNiNJJnBsb3RzRzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlISIiPkkiZkc2ImYqNiNJInhHRiRGJDYkSSlvcGVyYXRvckdGJEkmYXJyb3dHRiRGJCwoKiQ5JCIiIyIiIkYtISIpIiM4Ri9GJEYkRiQ=LUklcGxvdEc2IjYnLUkiZkdGJDYjSSJ4R0YkL0YpOyIiISIiKUkqZ3JpZGxpbmVzR0YkL0kmY29sb3JHRiRJJHJlZEdGJC9JKnRoaWNrbmVzc0dGJCIiIw==Beregner sk\303\246ringspunkterne med x-aksen:LUkmc29sdmVHNiI2JC8tSSJmR0YkNiNJInhHRiQiIiFGKg==QyU+SSV4X18xRzYiJjYkLCYiIiUiIiIqJCIiJCNGKiIiI0YqLCZGKUYqRishIiI2I0YuRio+SSV4X18yR0YlJkYnNiNGKg==QyUtSSZldmFsZkclKnByb3RlY3RlZEc2I0kleF9fMUc2IiIiIi1GJDYjSSV4X18yR0YoOmr\303\245det fra 1 til 3Qyc+SSVncmFmRzYiLUklcGxvdEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYnLUkiZkdGJTYjSSJ4R0YlL0YvOyIiISIiKUkqZ3JpZGxpbmVzR0YlL0kmY29sb3JHRiVJJHJlZEdGJS9JKnRoaWNrbmVzc0dGJSIiIyEiIj5JK3NrcmF2ZXJpbmdHRiUtRic2KEYsL0YvOyIiIiIiJEY0SSdmaWxsZWRHRiUvRjZJJWJsdWVHRiUvSS10cmFuc3BhcmVuY3lHRiUkIiImRjtGOy1JKGRpc3BsYXlHRiU2JEY9RiQ=Det bestemte integral fra 1 til 3:QyUtSSRpbnRHNiI2JC1JImZHRiU2I0kieEdGJS9GKjsiIiIiIiRGLS1JJmV2YWxmRyUqcHJvdGVjdGVkRzYjSSIlR0YlVenstre integral, dvs. fra 1 til sk\303\246ringspunktet.Positivt, da funktionen er positiv i omr\303\245det.Qyc+SSJWRzYiLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQtSSJmR0YlNiNJInhHRiUvRi87IiIiSSV4X18xR0YlRjItSSlzaW1wbGlmeUdGJTYjSSIlR0YlRjItSSZldmFsZkdGKUY2H\303\270jre integral, dvs. fra sk\303\246ringspunktet til 3.Negativt, da funktionen er negativ i omr\303\245det.Qyc+SSJIRzYiLUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliR0YlNiQtSSJmR0YlNiNJInhHRiUvRi87SSV4X18xR0YlIiIkIiIiLUkpc2ltcGxpZnlHRig2I0kiJUdGJUY0LUkmZXZhbGZHRilGNw==Samlede integral fra 1 til 3:LCZJIlZHNiIiIiJJIkhHRiRGJQ==ellerLCYtSSRpbnRHNiQlKnByb3RlY3RlZEdJKF9zeXNsaWJHNiI2JC1JImZHRig2I0kieEdGKC9GLTsiIiJJJXhfXzFHRihGMC1GJDYkRiovRi07RjEiIiRGMA==Bl\303\245t areal fra 1 til 3:QycsJi1JJGFic0clKnByb3RlY3RlZEc2I0kiVkc2IiIiIi1GJTYjSSJIR0YpRipGKi1JKXNpbXBsaWZ5RzYkRiZJKF9zeXNsaWJHRik2I0kiJUdGKUYqLUkmZXZhbGZHRiZGMg==ellerQycsJi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGKTYjSSJ4R0YpL0YuOyIiIkkleF9fMUdGKUYxLUYlNiRGKy9GLjtGMiIiJCEiIkYxLUkpc2ltcGxpZnlHRiY2I0kiJUdGKUYxLUkmZXZhbGZHRidGOw==Konklusion: arealet fra 1 til 3 er ca. 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 og det bestemte integral fra 1 til 3 er ca. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2I1EhRictSSdtdW5kZXJHRiQ2JS1GIzYtRistRiM2KEYrLUYwNiUtRiM2Ky1JI21uR0YkNidRJTIuNjdGJy8lJXNpemVHUSMxNkYnLyUrYmFja2dyb3VuZEdRLFsyNTUsMjU1LDBdRicvJSdvcGFxdWVHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ25vcm1hbEYnRj4vJSdpdGFsaWNHRkYvJStmb3JlZ3JvdW5kR1ErWzAsMTYwLDgwXUYnRkFGRC8lLHBsYWNlaG9sZGVyR0ZGLyU2c2VsZWN0aW9uLXBsYWNlaG9sZGVyR0ZGL0ZIUSdpdGFsaWNGJy1JI21vR0YkNjFRKiZPdmVyQmFyO0YnRj5GQUZERk9GRy8lJmZlbmNlR1EmdW5zZXRGJy8lKnNlcGFyYXRvckdGZW4vJSlzdHJldGNoeUdGRi8lKnN5bW1ldHJpY0dGZW4vJShsYXJnZW9wR0Zlbi8lLm1vdmFibGVsaW1pdHNHRmVuLyUnYWNjZW50R0ZGLyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdGZG8vJSxhY2NlbnR1bmRlckdRJmZhbHNlRidGPkZBRkRGR0YrRj5GSkZMRkFGREZPRlFGU0ZVRmdvRj5GQUZERkc=Omr\303\245det fra 1 til 4Qyc+SSVncmFmRzYiLUklcGxvdEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYnLUkiZkdGJTYjSSJ4R0YlL0YvOyIiISIiKUkqZ3JpZGxpbmVzR0YlL0kmY29sb3JHRiVJJHJlZEdGJS9JKnRoaWNrbmVzc0dGJSIiIyEiIj5JK3NrcmF2ZXJpbmdHRiUtRic2KEYsL0YvOyIiIiIiJUY0SSdmaWxsZWRHRiUvRjZJJmdyZWVuR0YlL0ktdHJhbnNwYXJlbmN5R0YlJEZDRjtGOy1JKGRpc3BsYXlHNiRGKS9JK21vZHVsZW5hbWVHRiVJJnBsb3RzR0YoNiRGPUYkDet bestemte integral fra 1 til 4:LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSJmR0YnNiNJInhHRicvRiw7IiIiIiIlGr\303\270nt areal fra 1 til 4:QycsJi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGKTYjSSJ4R0YpL0YuOyIiIkkleF9fMUdGKUYxLUYlNiRGKy9GLjtGMiIiJSEiIkYxLUkpc2ltcGxpZnlHRiY2I0kiJUdGKUYxLUkmZXZhbGZHRidGOw==Omr\303\245det fra 1 til 5Qyc+SSVncmFmRzYiLUklcGxvdEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYnLUkiZkdGJTYjSSJ4R0YlL0YvOyIiISIiKUkqZ3JpZGxpbmVzR0YlL0kmY29sb3JHRiVJJHJlZEdGJS9JKnRoaWNrbmVzc0dGJSIiIyEiIj5JK3NrcmF2ZXJpbmdHRiUtRic2KEYsL0YvOyIiIiIiJkY0SSdmaWxsZWRHRiUvRjZJJWdyZXlHRiUvSS10cmFuc3BhcmVuY3lHRiUkIiIlRjtGOy1JKGRpc3BsYXlHNiRGKS9JK21vZHVsZW5hbWVHRiVJJnBsb3RzR0YoNiRGPUYkDet bestemte integral fra 1 til 5:LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSJmR0YnNiNJInhHRicvRiw7IiIiIiImGr\303\245t areal fra 1 til 5:QycsJi1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGKTYjSSJ4R0YpL0YuOyIiIkkleF9fMUdGKUYxLUYlNiRGKy9GLjtGMiIiJiEiIkYxLUkpc2ltcGxpZnlHRiY2I0kiJUdGKUYxLUkmZXZhbGZHRidGOw==Omr\303\245det fra 1 til 7Qyc+SSVncmFmRzYiLUklcGxvdEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkdGJTYnLUkiZkdGJTYjSSJ4R0YlL0YvOyIiISIiKUkqZ3JpZGxpbmVzR0YlL0kmY29sb3JHRiVJJHJlZEdGJS9JKnRoaWNrbmVzc0dGJSIiIyEiIj5JK3NrcmF2ZXJpbmdHRiUtRic2KEYsL0YvOyIiIiIiKEY0SSdmaWxsZWRHRiUvRjZJJ3llbGxvd0dGJS9JLXRyYW5zcGFyZW5jeUdGJSQiIiVGO0Y7LUkoZGlzcGxheUc2JEYpL0krbW9kdWxlbmFtZUdGJUkmcGxvdHNHRig2JEY9RiQ=Det bestemte integral fra 1 til 7:LUkkaW50RzYkJSpwcm90ZWN0ZWRHSShfc3lzbGliRzYiNiQtSSJmR0YnNiNJInhHRicvRiw7IiIiIiIoGult areal fra 1 til 7:QycsKC1JJGludEc2JCUqcHJvdGVjdGVkR0koX3N5c2xpYkc2IjYkLUkiZkdGKTYjSSJ4R0YpL0YuOyIiIkkleF9fMUdGKUYxLUYlNiRGKy9GLjtGMkkleF9fMkdGKSEiIi1GJTYkRisvRi47RjciIihGMUYxLUkpc2ltcGxpZnlHRiY2I0kiJUdGKUYxLUkmZXZhbGZHRidGQA==