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Evaluate the following : int(1)^(pi//2...

Evaluate the following :
`int_(1)^(pi//2)[sin (logx)+cos(logx)]dx.`

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`(pi)/(2).sin(log.(pi)/(2)).`
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NAVNEET PUBLICATION - MAHARASHTRA BOARD-DEFINITE INTEGRALS-Examples for Practice
  1. Evaluate the following definite integral: int1^2e^(2x)(1/x-1/(2x^2))dx

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  2. int(0)^(e^(2)){(1)/((logx))-(1)/((logx)^(2))}dx

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  3. Evaluate the following : int(1)^(pi//2)[sin (logx)+cos(logx)]dx.

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  4. Evaluate the following : int(0)^(pi//2)(sinx)/(sinx+cosx)dx

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  5. Evaluate the following : int(0)^(pi//2)(sqrt(tanx))/(sqrt(tanx)+sqr...

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  6. int(0)^(pi//2)(1)/((1+sqrt(cotx)))dx=?

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  7. Evaluate the following : int(0)^(1)(dx)/(x+sqrt(1-x^(2))).

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  8. Evaluate the following : int(0)^(a)(sqrtx)/(sqrtx+sqrt(a-x))dx

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  9. Evaluate the following : int(0)^(a)(rootn(x+c))/(rootn(x+c)+rootn(a...

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  10. Evaluate the following : int(0)^(a)x^(2)sqrt(1-x)dx

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  11. Evaluate the following : int(0)^(1)x^(2)(1-x)^((5)/(2))dx.

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  12. Evaluate the following integral: int0^oo(logx)/(1+x^2)dx

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  13. Evaluate the following : int(0)^(pi//2)sin 2x.log (tanx)dx.

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  14. Evaluate the following : int(0)^(pi)(x tan x)/(secx+cos x)dx

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  15. Evaluate the following : int(0)^(pi)(x tanx)/(secx "cosec x")dx

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  16. Evaluate the following : int(0)^(pi)x sin^(3)x dx

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  17. Evaluate int(0)^(pi)(x)/((a^(2)cos^(2)x+b^(2)sin^(2)x))dx.

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  18. Evaluate the following : int(pi//6)^(pi//3)(root3(sinx))/(root3(sin...

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  19. Evaluate the following : int(pi//6)^(pi//3)(1)/(1+sqrt(cotx))dx

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  20. Evaluate the following : int(4)^(7)((11-x)^(3))/(x^(3)+(11-x)^(3))d...

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