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Evaluate the following: int(-pi/2)^(pi...

Evaluate the following:
`int_(-pi/2)^(pi/2)sin^7xdx`

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V PUBLICATION-INTEGRALS-QUESTION BANK
  1. Using properties evaluate the following definite integrals, evaluate ...

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  2. By using properties of definite integrals, evaluate the integrals int0...

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  3. Evaluate the following: int(-pi/2)^(pi/2)sin^7xdx

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  4. Using properties evaluate the following definite integrals, evaluate ...

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  5. Using properties evaluate the following definite integrals, evaluate...

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  6. Using properties evaluate the following definite integrals, evaluate ...

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  7. Using properties evaluate the following definite integrals, evaluate...

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  8. Show that int0^a f(x) g(x) d x=2 int0^a f(x) d x, if f and g are defin...

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  9. Choose the correct answer int(-pi/2)^(pi/2) (x^3+x cosx+tan^5 x+1) dx ...

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  10. The value of int0^(pi / 2) log ((4+3 sin x)/(4+3 cos x)) d x is a)2 b)...

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  11. Find int( cos 6 x sqrt(1+sin 6 x) )d x

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  12. Find int( (x^4-x)^(1/4))/x^5 d x

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  13. Find int( x^4 )/((x-1)(x^2+1))dx

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  14. Find int(log (log x)+1/((log x)^2)) d x

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  15. Find int (sin 2 x cos 2 x )/(sqrt(9-cos ^4(2 x)))dx

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  16. Prove that int0^pi x/(a^2cos^2x+b^2sin^2x)dx=pi^2/(2ab)

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  17. integrate the functions 1/(x-x^3)

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  18. integrate the functions 1/(sqrt(x+a)+sqrt(x+b))

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  19. Integrate the function 1/(x sqrt(a x-x^2))

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  20. Integrate the function 1/(x^2(x^4+1)^(3 / 4))

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