integration....IIT-2005

The value of
âˆ«_-2⁰ [x³+3x²+3x+3+(x+1)cos(x+1)]dx is

(a)0 (b) 3 (c) 4 (d) 1

2 Answers

I = x⁴/4 + x³ + 3x²/2 + 3x

= 4

1357

Manish Shankar ·2009-10-25 07:05:47

x³+3x²+3x+1+2+(x+1)cos(x+1)

_-2âˆ«⁰(x+1)³+(x+1)cos(x+1)+2 dx

let x+1=t

_-1âˆ«¹t³+tcost+2 dt

_-1âˆ«¹2 dt=4

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