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The value of is
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a
0
b
2
c
π
d
1
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Correct option is C
Let I=∫−π/2π/2 x3+xcosx+tan5x+1dx ⇒I=∫−π/2π/2 x3dx+∫−π/2π/2 xcosxdx+∫−π/2π/2 tan5xdx+∫−π/2π/2 1dxwe know that,∫−aa f(x)dx=2∫0a f(x)dx, if f(x) is even 0, if f(x) is odd ∴ l=0+0+0+2∫0π/2 1dx∵x3,xcosx and tan5(x) are odd functions ∴ I=2[x]0π/2=2π2=πSimilar Questions
The value of is
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