Question Number 102127 by Study last updated on 06/Jul/20

∫_0 ^2 (1−x^2 )^3 dx=?   and write the furmollah

Answered by abdomathmax last updated on 06/Jul/20

∫_0 ^2 (1−x^2 )^3  dx =−∫_0 ^2 (x^2 −1)^3  dx  =−∫_0 ^2 (x^(6 ) +3x^4 (1)−3x^2 (1)^2 −1)dx  =[−(x^7 /7) −(3/5)x^5  +x^3 +x]_0 ^2   −(2^7 /7)−(3/5)2^5  +2^3  +2 =....