tentukan hasil integral dari: a. int sin^6 x cos x dx b. int -2 smpai 3 (4x-3) dx

a. -cos(pangkat 6)x sinx + c
semoga benar

a) int (sin^6 x cos x) dx

misal : u = sin x => du = cos x dx

int sin^6 x cos x dx
= int u^6 du
= 1/7 u^7 + C
= 1/7 sin^7 x + C

b) int (4x - 3) dx
= 2x^2 - 3x | (batas -2 sampai 3)
= (2.3^2 - 3(3)) - (2 (-2)^2 - 3(-2))
= (18 - 9) - (8 + 6)
= 9 - 14
= -5