Integral dari 4x(1-x)^3 dx=...
Matematika
Ellynsiasalwa
Pertanyaan
Integral dari 4x(1-x)^3 dx=...
1 Jawaban
-
1. Jawaban MegaJRukundin
Integral parsial
2x .....(3x-2)³
2 ......1/3 (1/4)(3x-2)⁴ ...(+)
0 ....1/3 (1/4)(1/5)(3x-2)⁵...(-)
..
= 2x (1/3)(1/4)(3x-2)⁴ - 2 (1/3)(1/4)(1/5)(3x-2)⁵ + c
= 2(1/3)(1/4)(3x-2)⁴ [x - 1/5 (3x-2) ] + c
= 1/6 (3x -2)⁴ [ x - 3/5x - 2/5 ] + c
= 1/6 (3x-2)⁴ ( -2/5 x - 2/5 ) + c
= 1/6 (3x-2)⁴ (-2/5) ( x + 1) + c
= - 1/15 (3x-2)⁴ (x + 1) + c