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Evaluate the following integrals int1^4(...

Evaluate the following integrals `int_1^4(dx/sqrtx)dx`

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`int_1^4dx/(sqrtx)=int_1^4x^(-1/2)dx=[x^(1/2)/(1/2)]_1^4`
`2{4^(1/2)-1^(1/2)}=2(2-1)=2`
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MBD PUBLICATION-INTEGRATION-QUESTION BANK
  1. Evaluate the following integrals int(-2)^3x^4dx

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  2. Evaluate the following integralsint0^1x^(1/3)dx

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  3. Evaluate the following integrals int1^4(dx/sqrtx)dx

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  4. Evaluate the following integrals int1^3(dx/x^3)dx

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  5. Evaluate the following integrals int1^2(4x+sqrtx+1/(x^(1/3))+1/x^2)dx

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

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  7. Evaluate the following integrals int0^1(2x+1)^4

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  8. Evaluate the following integrals int0^1x^7(1+x^8)^(1/3)dx

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  9. Evaluate the following integrals int1^4(x^2-3x+5)/(sqrtx)dx

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  10. Evaluate the following integrals int((x+2)(x^2+3))/(sqrtx)dx

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  11. Evaluate the following integrals int0^(pi/2)(cosx-sinx)dx

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  12. Evaluate the following integrals int0^(pi/2)cos2xdx

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  13. Evaluate the following integrals int0^(pi/4)tan^2xdx

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  14. Evaluate the following integrals int0^pi3sin(x/2)cos(x/2)dx

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  15. Evaluate the following integrals int0^(pi/4)sin2xcosxdx

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  16. Evaluate the following integrals int(pi/6)^(pi/3)(1+cos2x)/(1-cos2x)dx

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  17. Evaluate the following integrals int(pi/4)^(pi/2)cotxdx

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  18. Evaluate the following integrals int0^(pi/4)cos^2 2xsin^3 4xdx

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  19. Evaluate the following integrals int1^2e^(4x+1)dx

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  20. Evaluate the following integrals int1^2(3^(x+2))dx

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