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Evaluate the following integrals (i) ...

Evaluate the following integrals
(i) ` int_(0)^(pi/2)(2 sin x + 3 cos x)/(sin x + cos x)dx`

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The correct Answer is:
`(5pi)/(4)`
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AAKASH SERIES-DEFINITE INTEGRALS-Exercise-2.3 (Level-1)
  1. Evaluate the following integrals (iii) int(0)^(pi/2)(sqrt(sec x))/(s...

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  2. int(0)^((pi)/(2))(4sqrt(cot x))/(4sqrt(tan x) + 4sqrt(cot x)) dx

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  3. Evaluate the following integrals (i) int(0)^(pi/2)(2 sin x + 3 co...

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  4. int(0)^((pi)/(2)) (3 tan x + 4 cot x)/(tan x + cot x)dx

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  5. int(0)^((pi)/(2)) ("4 sec x + 5 cosec x")/("sec x + cosec x") dx

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  6. int(0)^((pi)/(2)) (2 cos x-sinx)/(cos x + sin x)dx

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  7. Evaluate underset(pi//6)overset(pi//3)int (sqrt(x))/(sqrt(sinx)+sqrt(c...

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  8. Evaluate the following integrals (ii) int(pi/6)^(pi/3)(1)/(1+ root ...

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

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

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

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

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

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

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

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

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

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

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

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

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