Q. 135.0( 1 Vote )

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Answer :

Let us assume   .....….equation 1

By property we know that Thus  .....equation 2

Adding equation 1 and equation 2 We know  ……equation

Let cosx = y

Differentiating both sides

– sinxdx = dy

sinxdx = – dy

for x = 0

cos0 = y

1 = y

For x = π

cosπ = y

– 1 = y

Substituting equation 3 becomes    2I = π[{3(1) – (1)3} – {3( – 1) – ( – 1)3}]/3

2I = π[2 – { – 3 + 1}]/3

2I = π[2 + 2]/3

I = 2π/3

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