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Evaluate the following integrals : int x...

Evaluate the following integrals : `int xsqrt(1+2x^(2))dx`

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The correct Answer is:
`1/6(1+2x^(2))^(3//2)+C`
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BETTER CHOICE PUBLICATION-INTEGRALS-ASSIGNMENT (SECTION III MOST IMPORTANT QUESTIONS FOR PRACTICE)
  1. Evaluate the following integrals : int (1-e^(x))/(1+e^(x))dx

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  2. Evaluate the following integrals : int xsqrt(x^(2)-1)dx

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  3. Evaluate the following integrals : int xsqrt(1+2x^(2))dx

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  4. Evaluate the following integrals : int (xsin^(-1)x)/(sqrt(1-x^(2)) dx

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  5. Evaluate the following integrals : int (cosx-sinx)/(1+sin2x)

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  6. Evaluate the following integrals : int (e^(tan^(-1)x))/(1+x^(2))dx

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  7. Evaluate the following integrals : int 1/(cos^(2)x(1-tanx)^(2))dx

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  8. Evaluate the following integrals : int ((logx)^(2))/x dx

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  9. Evaluate the following integrals : int ((x+1)(x+logx)^(2))/x dx

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  10. Evaluate the following integrals : int x^(3)sin(x^(4))dx

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  11. Evaluate the following integrals : int e^(x)cosec^(2)(e^(x))dx

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  12. Evaluate the following integrals : int x^(2)e^(x^(3))cos(e^(x^(3)))dx

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  13. Evaluate the following integrals : int (e^(tan-1)x)/(1+x^(2))dx

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  14. Evaluate the following integrals : int (sinsqrt(x))/(sqrt(x))dx

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  15. Evaluate the following integrals : int (sec^(2)sqrt(x))/(sqrt(x))dx

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  16. Evaluate the following integrals : int (e^(m tan^(-1)x))/(1+x^(2))

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  17. Evaluate the following integrals : int (xsin^(-1)x)/(sqrt(1-x^(2)) dx

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  18. Evaluate the following integrals : int (e^(x)(1+x))/(cos^(2)(xe^(x)))d...

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  19. Evaluate the following integrals : int (sin(2tan^(-1)x))/(1+x^(2))dx

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  20. Evaluate the following integrals : int (sec^(2)(2tan^(-1)x))/(1+x^(2))...

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