What is the integral of the functions: a) \int_{-3}^{-2}(2y^2+12y+19)dyZS

Pearl Carney

Pearl Carney

Answered question

2021-11-20

What is the integral of the functions:
a) 32(2y2+12y+19)dy
b) 32(y224y10)dy

Answer & Explanation

Sact1989

Sact1989

Beginner2021-11-21Added 10 answers

Given integrals are
a) 32(2y2+12y+19)dy
b) 32(y224y10)dy
On solving the first integral
32(2y2+12y+19)dy
=[2y2+12+1+12y1+11+1+19y]32
=[2y33+12y22+19y]32
=[2(2)33+12(2)22+19(2)(2(3)33+12(3)22+19(3))]
=[163+2438(18+5457)]
=[583+21]
=53
Ruth Phillips

Ruth Phillips

Beginner2021-11-22Added 18 answers

On solving the second integral
32(y224y10)dy
=[y2+12(2+1)4y1+11+110y]32
=[y364y2210y]32
=[(2)364(2)2210(2)((3)364(3)2210(3))]
=[438+20(9218+30)]
=[403332]
=196

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