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Integrate the functions af'(ax+b)[f(ax...

Integrate the functions
`af'(ax+b)[f(ax+b)]^(n)`

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NEW JOYTHI PUBLICATION-INTEGRALS -NCERT MISCELLANEOUS EXERCIES
  1. Integrate the functions cos^(4)xe^(logsinx)

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  2. Integrate the functions 4e^(3logx)(x^(4)+1)^(-1)

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  3. Integrate the functions af'(ax+b)[f(ax+b)]^(n)

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  4. Integrate the functions (1)/(sqrt(sin^(3)xsin(x+alpha)))

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  5. Integrate the functions (sin^(-1)sqrt(x)-cos^(-1)sqrt(x))/(sin^(-1)s...

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  6. Integrate the functionssqrt((1-sqrt(x))/(1+sqrt(x)))

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  7. (2+sin 2x)/(1+cos 2x) e^(x)

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  8. (x^(2)+x+1)/((x+1)^(2)(x+2))

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  9. Integrate the functionstan^(-1)sqrt((1-x)/(1+x))

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  10. Integrate the functions(sqrt(x^2+1)[log(x^2+1)-2logx])/(x^4)

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  11. int(pi/2)^pi e^x ((1-sinx)/(1-cosx))dx

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  12. Evaluate the definite integrals int0pi/4(sinxcosx)/(cos^4x+sin^2x)dx

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  13. Evaluate the definite integrals int(0)^((pi)/(2))(cos^(2)xdx)/(cos^...

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  14. Evaluate the definite integrals int((pi)/(6))^((pi)/(3))(sinx+cosx)...

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  15. Evaluate the integrals int(dx)/(sqrt(1+x)-sqrt(x))

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  16. Evaluate the definite integrals int(0)^((pi)/(4))(sinx+cosx)/(9+16s...

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  17. Evaluate the definite integrals int(0)^((pi)/(2))sin2xtan^(-1)(sinx...

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  18. Evaluate the definite integrals int(0)^(pi)(xtanx)/(secx+tanx)dx

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  19. integrate wrt x pi/2(pi-2)

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  20. Prove the following int(1)^(3)(dx)/(x^(2)(x+1))=(2)/(3)+"log"(2)/(3)

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