tonytlan06
tonytlan06 tonytlan06
  • 03-01-2019
  • Mathematics
contestada

Help plz!
Find the indefinite integral of 3x² + 4x given that when x = 1, the indefinite integral is -2.

Respuesta :

jimrgrant1 jimrgrant1
  • 03-01-2019

Answer:

y = x³ + 2x² - 5

Step-by-step explanation:

using the power rule

• ∫a[tex]x^{n}[/tex] = [tex]\frac{a}{n+1}[/tex] [tex]x^{n+1}[/tex] → (n ≠ - 1 )

y = ∫(3x² + 4x ) dx

y = x³ + 2x² + c ( c is the constant of integration )

to find c use y = - 2 when x = 1

1 + 2 + c = - 2 ⇒ c = - 2 - 3 = - 5

y = x³ + 2x² - 5




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