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If n is a positive odd integer, then int...

If n is a positive odd integer, then `int |x^n| dx=`

A

`|(x^(n+1))/(n+1)|+C`

B

`(x^(n+1))/(n+1)+C`

C

`(|x|^(n)x)/(n+1)+C`

D

None of these

Text Solution

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The correct Answer is:
C
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ARIHANT MATHS-INDEFINITE INTEGRAL -Exercise (Single Option Correct Type Questions)
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  4. If n is a positive odd integer, then int |x^n| dx=

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  5. Let F(x) be the primitive of (3x+2)/sqrt(x-9)w.r.t.x. If F(10)=60 then...

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  6. int(x^x)^x(2xlogex+x)dx is equal to

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  7. The value of int x log x (log x - 1) dx is equal to

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  8. int (x^2 -1 )/ (x^3 sqrt(2x^4 - 2x^2 +1))dx is equal to

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  9. Let f(x) be a polynomial satisfying f(0)=2 , f'(0)=3 and f''(x)=f(x) t...

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  10. int(e^((x^2+4lnx))-x^3e^(x^2))/(x-1) dx is equal to

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  11. int tan^(4)x dx = A tan^(3) x+ B tan x + f(x), then

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  12. If the anti derivative of int sin^4x/x dx is f(x) then int(sin^4(p+q)...

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  13. Prove that : sintheta/cos[3theta]+sin[3theta]/cos[9theta]+sin[9theta...

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  14. If x^2!=n pi-1, n in N. Then, the value of int x sqrt((2sin(x^2+1)-sin...

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  15. int(dx)/(cos(2x)cos(4x))=

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  16. int(1-7cos^(2)x)/(sin^(7)xcos^(2)x)dx=(f(x))/((sinx)^(7))+C, then f(x)...

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  17. Evaluate: (sin^3x dx)/((cos^4x+3cos^2x+1)tan^(-1)(secx+cosx)

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  18. The primitive of the function f(x)= x | cos x|, when pi/2 lt x lt pi i...

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  19. The primitive of the function f(x)=(2x+1)|sin x|, when pi lt x lt 2 p...

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  20. If f(x)=|(0,x^2-sinx,cosx-2),(sinx-x^2,0,1-2x),(2-cosx,2x-1,0)|,then i...

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