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int((pi)/(5))^((3pi)/(10))(f(sin x))/(f(...

`int_((pi)/(5))^((3pi)/(10))(f(sin x))/(f(sin x) + f(cos x)) dx`

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The correct Answer is:
`(pi)/(20)`
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AAKASH SERIES-DEFINITE INTEGRALS-Exercise-2.3 (Level-1)
  1. Evaluate the following integrals (ii) int(pi/6)^(pi/3)(1)/(1+ root ...

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  2. int((pi)/(6))^((pi)/(3))(sec^(4)x)/("cosec"^(4) x + sec^(4)x) dx

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  3. int((pi)/(5))^((3pi)/(10))(f(sin x))/(f(sin x) + f(cos x)) dx

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  4. Find underset(-a)overset(a)int(x^(2)+sqrt(a^(2)-x^(2)))dx

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  5. Evaluate underset(-pi//2)overset(pi/2)int sin|x| dx

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  6. Evaluate the following integrals (iii) int(-1)^(1)|x|dx

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  7. int(pi)^((pi)/(2)) sin|2x|dx

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  8. Evaluate the following integrals (iv) int(-1)^(1)(x^(4)+sin^(3)x)dx

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  9. Evaluate the definite integrals . underset(-pi//2)overset(pi//2)int ...

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  10. int(0)^(2pi)(1)/(1+e^(sinx))dx=

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  11. int((-pi)/(4))^((pi)/(4)) (dx)/(1+e^(tan x))

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  12. int(-1)^(1) (cos h x)/(1+e^(2x))dx=

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  13. Show that int(0)^(a)x(a-x)^(n)dx=(a^(n+2))/((n+1)(n+2)). Hence find ...

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  14. Evaluate the integral underset(0)overset(pi//4)int log(1+tanx)dx

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  15. Evaluate the integral underset(0)overset(1)int (log(1+x))/(1+x^(2))d...

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  16. Evaluate (i) int(0)^(pi/2) (sin^(2)x)/(sin x + cos x ) dx

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  17. int(0)(pi//2) ( x dx)/(Sin x + Cos x)=

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  18. Evaluate (i) int(0)^(pi) ( x sin x)/(1+ sin x) dx

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  19. Evaluate the integral underset(0)overset(pi)int (xsinx)/(1+cos^(2)x)...

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  20. Evaluate (iii) int(0)^(pi)(x sin^(3)x)/(1+cos^(2)x)dx

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