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Ex 7.10, 6 - Chapter 7 Class 12 Integrals
Last updated at June 13, 2023 by Teachoo
Ex 7.10
Ex 7.10, 1
Ex 7.10, 2
Ex 7.10, 3 Important
Ex 7.10, 4
Ex 7.10, 5 Important
Ex 7.10, 6 You are here
Ex 7.10,7 Important
Ex 7.10,8 Important
Ex 7.10, 9
Ex 7.10, 10 Important
Ex 7.10, 11 Important
Ex 7.10, 12 Important
Ex 7.10, 13
Ex 7.10, 14
Ex 7.10, 15
Ex 7.10, 16 Important
Ex 7.10, 17
Ex 7.10, 18 Important
Ex 7.10, 19
Ex 7.10, 20 (MCQ) Important
Ex 7.10, 21 (MCQ) Important
Chapter 7 Class 12 Integrals
Serial order wise
Transcript
Ex 7.10, 6 By using the properties of definite integrals, evaluate the integrals: ∫_2^8▒〖 |𝑥−5| 〗 𝑑𝑥 |𝑥−5|= {█(𝑥−5, 𝑖𝑓 𝑥−5≥0@−(𝑥−5) 𝑖𝑓 𝑥−5<0)┤ = {█((𝑥−5) 𝑖𝑓 𝑥≥5@−(𝑥−5) 𝑖𝑓 𝑥<5)┤ ∴ ∫_2^8▒〖 |𝑥−5| 〗 𝑑𝑥=∫_2^5▒〖−(𝑥−5) 〗 𝑑𝑥+∫_5^8▒|𝑥−5| 𝑑𝑥 =− [𝑥^2/2−5𝑥]_2^5+[𝑥^2/2−5𝑥]_5^8 =−[5^2/2−5×5]+[2^2/2−5×2]+[8^2/2−5×8]−[5^2/2−5×5] =− 25/2+25+2−10+32−40−25/2+25 =− 25/2−25+25−10−40+32+2 =(−50)/2+50−50+34 =(−50)/2+34 =18/2 = 9
