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Evaluate the following definite integral...

Evaluate the following definite integrals `int_-1^1 dx/(x^2+2x+5)`

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`int_-1^1 dx/(x^2+2x+5) = int_-1^1 dx/((x+1)^2 +4)`
=`[1/2 tan^-1((x+1)/2)]_-1^1`
=`1/2[tan^-1 1- tan^-1 0]`
=`1/2[tan^-1 1- tan^-1 -]`
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A N EXCEL PUBLICATION-INTEGRALS-QUESTION BANK
  1. Find the following integrals. int0^(pi/2)frac(sinx)(1+cos^2x)dx

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  2. Evaluate the following definite integrals int0^2dx/(x+4-x^2)

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  3. Evaluate the following definite integrals int-1^1 dx/(x^2+2x+5)

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  4. Evaluate the following definite integrals int1^2 (1/x - 1/(2x^2)) e^(2...

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  5. Choose the correct answer. int(1/3)^1 (x-x^3)^(1/3)/x^4 dx =

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  6. If f(x) = int0^x tsint dt, then find f^'(x)

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  7. int0^(pi/2)frac(sinx)(sinx+cosx)dx

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  8. Find the value of int0^(pi/2)sin^4x/(sin^4x+cos^4x)dx

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  9. Evaluate int-1^1 log((3-x)/(3+x))dx

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  10. Evaluate int-1^2 abs[x^3-x]dx

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  11. Evaluate int(-pi/4)^(pi/4) sin^2 x dx

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  12. Evaluate int0^pi (xsinx)/(1+cos^2x)dx

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  13. Using properties evaluate the following definite integrals int0^(pi/2)...

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  14. Find the following integrals. int0^(pi/2)frac(sqrtsinx)(sqrtsinx+sqr...

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  15. Using properties evaluate the following definite integrals int0^(pi/2)...

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  16. Using properties evaluate the following definite integrals int0^(pi/2)...

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  17. Evaluate the following int-5^5 abs[x+2]dx

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

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  19. Using properties evaluate the following definite integrals, evaluate t...

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  20. Evaluate. int0^(pi/4) log(1+tanx)dx

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