berapakah a. integral x(x²+7)^5dx b. integral 3x²(x³-1)^7dx
Matematika
Amelya24
Pertanyaan
berapakah
a. integral x(x²+7)^5dx
b. integral 3x²(x³-1)^7dx
a. integral x(x²+7)^5dx
b. integral 3x²(x³-1)^7dx
1 Jawaban
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1. Jawaban afriyani15
a. x(x² + 7)^5dx
= x{x^(2+5) + 7^5}dx
= x(x^7 + 7^5)dx
= x^8 + 7x^5
integral = x^(8+1)/8+1 + 7x^(5+1)/5+1
=1/9x^9 + 7/6x^6
b. 3x²(x³-1)^7
=3x²{x^(3+7) -1^7}
= 3x² ( x^10-1^7}
=3x^12 -3x^9
integral = 3x^(12+1)/12+1- 3x^(9+1)/9+1
= 3/13x^13 - 3/10x^10