Problem 50504. Find the area between curves (P3)
Area between curves - Problem 3
Find the area enclosed by the curves
and
for different a and b coefficients
Plot of
and
for ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAK8AAAAkCAYAAAD/5WpuAAAHIklEQVR4Xu2bBag0ZRSGn1/FwG4MDFBUMBEDu7sDxRYTCwNMVGyxxcDG7u5AbBETFRFR7MDGxpZHzsj3753ZO3P/3fl33PlguXB35otz3u/Ee86Oox2tBBoqgXEN3Xe77VYCtOBtQdBYCbTgbazq2o234G0x0FgJtOBtrOrajbfgbTHQWAm04K1HdZMA0wI/AX/Us+T/ahVltxZwN/BndrJhBu88wP7Ay8ANPVb15MCWwDrAwsDywLPAdsAHPV6rzulmBXYCFgU+BBYB3gIuB96fwI1sD1xbMMcPwObAo+n3wwheQbsPsAcwE7ADcN0ECr7o9ZmBK4BNgIuBg4Bf+rRWP6cVJ+sC58RFPy3OMVnI8mDAzx3A32PYyIxxAQRo3nDe3YBvhxW8MwC7A7rwucPqKot+gldLdX24vL0DwGPQ7UR/ZcW44O8COwKfJDuaDjgPWBXYGXhiDLvdNC726RFadU7xdsea/34/TJZXK/FXfHTlNwOL9Rm8SwP3hCY2Bl4ag2In9itaRb3G1sAhwNk51nUL4LaISfVoX1TY9NTA+RFWXVbFcg8TeFN5LgTcBCzRZ/DuBVwEPBgW66sKSh2UR9eMcMD9rA88k7OxVJ7G+rdX2LzzHx96eK/Ce0NleesG71RhpQTwKcDRaaZcRUkT8dlJgROAI0ZJOKcHtJpbVYztUxl9E2vcD/j5KLxk4fFby9u/mHfeiHdXAIzppHmaNlJQ3hfeY7ykKQ6UgvBxQObg0xKHXRa4E5gj59l7gWOBV4pCiTLg9RljRJOdOYMamSsW9X8LBgX0WonNDsojdYQNawMPA68C2wAfh2XaNZIbKaYrgUsArc4gjgWAGwFj99HYEj2L7v8zoGx87wV3DfUhkFcD/F82pBULWYzRwCuVdCiwEXAY8ECY8vmDMlkOuDWA/V0J6aegKfF44SPHhDsb6xz9Bq9yPSr2eE381f1+CWjBtMYHRuHCZEUZl6HQunGhVWSxUkHs2jlHmtiWBa9zlJ2/cz0t+BphcZeJLwWw5x4Ra3cDr9b1AmDJHApE/lJuVO7Pm2EGWmYMC3hTdytolZdu0MRNHlTm46QArTSQsWIZz1U3eKXIng7FVgHvhNKPVtSOBA6PtU2u9wS+T0FWBN7Zw00Yq8nrCdSUfE7jOfm9J8sgd4Ce6bflXTw8kiHVCwm5n8owBeJYLVW/RZpRfcakVcDbixhfCs1iiAWl3FAkD7xaheMC+VcHmT8e4qPcaTz3ekNLnv0Gr9Ugs2/HmRFC/NqBNMusVwFVLG+/wdo5fyqnKuDt1WVME7ptg978b4954F0lgvRpwp0J0s5hmfOsErexbmGXXa+f4E0z7zeD3H+jY2MpBTXIHLAJul7XRKoseO1DsKfjubLK6PJcGn6NCEU6wTtFmOoDgpgeUU8GZgMujXp9U0ue/QRvGlIZ7+rF/uuECkWloCiqWvVA9xM8RVmqbMrwMLr4XjYgpYbAC/FIt5g3VWqRULNYrQolkq05DAlbRpEpn82A53MglIUVZtBalLIdWXUnbClr0g2UKcil//Yr6FGoepsy8NrYNIJ+67S8meBdZATSgfmibc0stAoZPSzgTZWd2wmVyNCkTs9lO2bZTqy6wavesvLwj13425QPlvu3RbIXI/NQFkZG7SrrlgGb/ekGpc5WBy6MRg0XkA9+sRe7rWmOKmGDXWhalt8BFdhtpBYoryScZtDSQCZzg96cnnWNmWAWhYlaxruCi+30JMpP1uXnKNSUvagaAvEozmS8nH+80c3ypgGyvJvAFaBaXQ8hv2tnlmT7GcDnNQGvF8uUBa/Mi+HTqYCJiDKQ0y4CXEqR2R4oW5ONbC6LF36srHUyEL04Wz/myFoirRZ2do1l4LYXVy7Wilw2xNe+wMlx+eWzH4svnVML/VtQiSaGqTxseJex0YPlXvJO8FqYsCKkZXWj50ZFTSA7geC1293ihJU1s2abNix1NmnYHWXzh6NbwpQWY3w2K/UWnXfDKEb4bApe+3qtosmJa3FVYFkLNAhyFSfG73oT6T2ZJoHmhfScWfOOAEwvdprIeQ4LD87hyKx1dj7DJ42ERnCDqNpafbylyFjkUWWWBK1Rrwe8E+1tWhB/9mEA7S0y/hC8Nk7Y/dOEIZNi6VEC3d5UQx2HfQUmGVaSngLStkWVI/Oipcye78Zh6iJXBnYBBKw8+CzRN22VyGJOU6xtnk79FYrhgx7GxnSb+gWblVjbGfMupNSrXkY+W2/tX4eyFcD2elguV77qwp/62KzzEPB1N2CN1tvQBFDWtUfBqCWwr6JpnqYuGdW6Tgve8uLWamtFTmxAklX+VA1+sgVvOeX5K1ljY8OHJiWm5U7X0Kda8I6uuKWiTO4vZ21pbMeASKAF74Aoot1GdQm04K0us/aNAZFAC94BUUS7jeoSaMFbXWbtGwMigX8AFf24NP2iLdEAAAAASUVORK5CYII=)
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