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Evaluate the following integrals: int (2...

Evaluate the following integrals: `int (2x+3)/(5x^2+1)`

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`(2x+13/(5x^2+1) = (2x)/(5x^2+1) + 3/(5x^2 +1) `
` =1/5 (10x)/(5x^2+1) + 3/((sqrt5x)^2 +1)`
therefore` int_0^1 (2x+3)/(5x^2+1) dx`
=`[1/5 log|5x^2+1| +3/sqrt5 tan^-1 (sqrt5x)]_0^1`
`(1/5 log6 +3/sqrt5 tan^-1 sqrt5)-(1/5 log1 + 3/sqrt5 tan^-1 0)`
=`1/5 log6 +3/sqrt5 tan^-1 sqrt5`
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A N EXCEL PUBLICATION-INTEGRALS-QUESTION BANK
  1. Evaluate the following integrals: int0^(pi/2) cos^2x dx

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  2. Evaluate the following integrals: int2^3 xdx/(x^2+1)

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

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  4. Find the following integrals. int0^1xe^(x^2)dx

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

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  6. Evaluate the following integrals: int0^(pi/4) (2 sec^2x +x^3+2) dx

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  7. Evaluate the following integrals: int0^pi sin^2 (x/2) - cos^2(x/2) ...

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  8. Evaluate the following integrals: int0^2 (6x+3)/(x^2+4) dx

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  9. Evaluate the following integrals: int0^1(xe^x +sin((pix)/4))dx

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  10. Choose the correct answer. int0^sqrt3 dx/(1+x^2)

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  11. Choose the correct answer. int0^(2/3) dx/(4+9x^2) a)pi/6 b)pi/12 c)...

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  12. Evaluate the following definite integrals int0^1 x/(x^2+1) dx

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  13. Evaluate the following definite integrals int0^(pi/2) sqrt(sin phi) co...

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  14. Evaluate the following definite integrals int0^1 sin^-1((2x)/(1+x^2)) ...

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  15. Find the following integrals. int0^2xsqrt(x+2)dx

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  16. Find the following integrals. int0^(pi/2)frac(sinx)(1+cos^2x)dx

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

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

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

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

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