Matematika

Pertanyaan

Tolong dijawab tiga soal ini yah :)
Tolong dijawab tiga soal ini yah :)

2 Jawaban

  • [tex]$\int \:x\sin ^2\left(x\right)\cos \left(x\right)dx=\frac{3x\sin ^3\left(x\right)-\cos ^3\left(x\right)+3\cos \left(x\right)}{9}+C$[/tex]
  • 2) int (√x + 2x)(√x - 3x) dx
    = int (x - 3x^3/2 + 2x^3/2 - 6x²) dx
    = int (x - x^3/2 - 6x²) dx
    = 1/2 x² - 2/5 x^5/2 - 2x³ + C

    3) int (2√x +  1/√x)² dx
    = int (4x + 4 + 1/x) dx
    = 2x² + 4x + ln(x) + C