Matematika

Pertanyaan

1. Integral 6x (X + 2) pangkat 5 dx ???

2. Integral 24x (3x - 5) pangkat 6 dx ???

3. Integral 8x (1 - 2x) pangkat 3 dx ???
1. Integral 6x (X + 2) pangkat 5 dx ??? 2. Integral 24x (3x - 5) pangkat 6 dx ??? 3. Integral 8x (1 - 2x) pangkat 3 dx ???

1 Jawaban

  • [tex]1) \int 6x(x+2)^5+dx \\=\int 6x(x^5+2^5)+c \\=\int6x^6+12x^5+c \\=\int \frac{6}{7}x^7+ \frac{12}{6}x^6+c \\=\int \frac{6}{7}x^7+ 2x^6+c \\\\ 2) \int 24x (3x-5)^6+dx \\=\int 24x (3x^6-5^6)+c \\=\int 72x^7-120x^6+c \\=\int \frac{72}{8}x^8- \frac{120}{7}x^7+c \\=\int 9x^8- \frac{120}{7}x^7+c \\\\ 3) \int 8x(1-2x)^3+dx \\=\int 8x(1^3-2x^3)+c \\=\int 8x^3-16x^4+c \\=\int \frac{8}{4}x^4- \frac{16}{5}x^5 +c \\=\int 2x^4- \frac{16}{5}x^5 +c[/tex]