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Integrate the function: f'(ax + b) [f (a...

Integrate the function: `f'(ax + b) [f (ax + b)]^n`

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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Differentiate the following functions w.r.t.x : e^x cos^3 x sin^4 x

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  2. Compute the following integrals: inte^(3logx)(x^4+1)^(-1)dx

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  3. Integrate the function: f'(ax + b) [f (ax + b)]^n

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  4. Evaluate int (1)/(sqrt(sin^(3)x sin (x+alpha))dx.

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  5. Integrate the function: (sin^(-1)sqrtx-cos^(-1)sqrtx)/(sin^(-1)sqrtx+c...

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  6. Integrate the function: sqrt((1-sqrtx)/(1+sqrtx)

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  7. Evaluate the following integrals: int((2+sin2x)/(1+cos2x))e^x dx

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  8. Prove that the following functions are continuous: (x^2 + x+1)/((x-1...

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  9. Integrate the function: tan^(-1)sqrt((1-x)/(1+x))

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

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  11. Evaluate the following integrals. underset(pi//2)overset(pi)inte^x(1...

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  12. Evaluate the following integrals :underset(0)overset(pi//4)int(sinx.co...

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  13. Evaluate: underset(0)overset(pi//2)int(cos^2x)/(cos^2x+4sin^2x)dx

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  14. Evaluate: underset(pi//6)overset(pi//3)int (sinx+cosx)/sqrt(sin2x)dx.

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  15. Evaluate the definite integrals underset0overset1 int (dx)/(sqrt(1+x)-...

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  16. Evaluate the following integrals :underset(0)overset(pi//4)int(sinx+Co...

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  17. Evaluate the definite integrals : underset(0)overset(pi/2)int sin 2x...

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  18. Evaluate the definite integrals : underset(0)overset(pi)int(xtanx)/(...

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  19. Evaluate the definite integrals : underset(1)overset(4)int|x-1|+|x-2...

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  20. Prove that following: underset(1)overset(3)int(dx)/(x^2(x+1))=2/3 + ...

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