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int(-1)^(1)(x^(2) sin^(-1)x)/(sqrt(1-x^(...

`int_(-1)^(1)(x^(2) sin^(-1)x)/(sqrt(1-x^(2))``dx`

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AAKASH SERIES-DEFINITE INTEGRALS-Exercise-2.3 (Level-1)
  1. Evaluate the following integrals int(0)^(2pi) cos x dx

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  2. Evaluate the following integrals (i) int(-1)^(1) log((2-x)/(2+x))dx

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  3. int(-1)^(1)(x^(2) sin^(-1)x)/(sqrt(1-x^(2))dx

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  4. int(-a)^(a) [sqrt(k+x+x^(2)) - sqrt(k-x+x^(2))]dx

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  5. int(-(pi)/(2))^((pi)/(2))(sin^(2009)x + x^(1009))dx

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  6. int(-(pi)/(2))^((pi)/(2)) (f(x) + f(-x))(g(x) - g(-x)) dx where f(x) a...

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  7. Evaluate the following integrals (i) int(0)^(pi/2)(cos^(5//2)x)/(si...

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  8. int(0)^((pi)/(2)) (1)/(1 + cot x)dx

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  9. Evaluate the following integrals (iii) int(0)^(pi/2)(sqrt(sec x))/(s...

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

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

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

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

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

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

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

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

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

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

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

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