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Find the value of int(-pi/3)^(pi/3)(pi+...

Find the value of `int_(-pi/3)^(pi/3)(pi+4x^3)/(2-cos(|x|pi/3))dx`

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The correct Answer is:
`(4pi)/(sqrt(3))tan^(-1)((1)/(2))`
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VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -JEE Advanced (Archive)
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  2. Evaluate: int0^pie^(|cosx|)(2s in(1/2cosx)+3cos(1/2cosx))sinxdxdot

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  3. Find the value of int(-pi/3)^(pi/3)(pi+4x^3)/(2-cos(|x|pi/3))dx

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  4. Show that: int0^(pi//2)f(sin2x)sinxdx=sqrt(2)int0^(pi//4)f(cos2x)co...

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  5. int(-pi)^(pi) ( e^(sin x ))/( e^(sinx) + e^(-sinx))dx is equal to

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  6. Prove that int(0)^(1)tan^(-1)(1/(1-x+x^(2)))dx=2int(0)^(1)tan^(-1)xdx....

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  7. Evaluate int(0)^(pi//4) log (1+tan theta)d theta

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  8. about to only mathematics

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  9. Evaluate int(-1//sqrt(3))^(1//sqrt(3)) (x^(4))/(1-x^(4)) "cos"^(-1)((2...

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  10. Evaluate: int2^3(2x^5+x^4-2x^3+2x^2+1)/((x^2+1)(x^4-1))dx

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  11. A cubic function f(x) vanishes at x=-2 and has relative minimum/maximu...

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  12. Evaluate: int0^pi(xsin2xsin(pi/2cosx)/(2x-pi)dx

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  13. Prove that for any positive integer k ,(sin2k x)/(sinx)=2[cosx+cos3x+...

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  14. If fa n dg are continuous function on [0,a] satisfying f(x)=f(a-x)a n ...

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  15. The value of the integral overset(2a)underset(0)int (f(x))/(f(x)+f(2a-...

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  16. int0^1log(sqrt(1-x)+sqrt(1+x))dx equals:

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  17. Evaluate int(0)^(pi)(x dx)/(1+cos alpha sin x),where 0lt alpha lt pi.

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  18. Evaluate : int0^(pi/2)(xsinxcosx)/(sin^4x+cos^4x)\ dx

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  19. Evaluate: int0^(1/2)(xsin^(-1)x)/(sqrt(1-x^2))dx

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