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If int(0)^(a)1/(1+4x^(2))dx=pi/8, then a...

If `int_(0)^(a)1/(1+4x^(2))dx=pi/8`, then a = …………….. .

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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Fill ups: The value of underset(-pi)oversetpi int sin^3cos^2xdx is equ...

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  2. Fill ups: If f is an odd function and g is an even function, then unde...

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  3. If int(0)^(a)1/(1+4x^(2))dx=pi/8, then a = …………….. .

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  4. int (dx)/(e^x+e^(-x)) is equal to:

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  5. Fill ups: The value of underset0overset(pi/2)int (sin^nx)/(sin^nx+cos^...

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  6. Prove that: inta^b(f(x))/(f(x)+f(a+b-x))dx=(b-a)/2

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  7. Evaluate int ((x^2-3)e^x)/(x+3)^2 .

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  8. Fill ups: int xe^x/(x+1)^2dx is equal to…………….. .

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  9. Fill ups: underset0 overset(pi/2)int cosx(e^sinxdx) is equal to……….. .

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  10. Fill ups: int (sinx)/(3+4cos^2x)dx is equal to…………….

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  11. Fill ups: int x^2/(x-1)dx is equal to……….. .

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  12. Fill ups: int 1/(x^2-4x+3)dx is equal to…………… .

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  13. Fill ups: int sqrt(3-4x)dx is equal to……….. .

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  14. Fill ups: If underset0overset(pi/2)int sin^nxdx=k underset0overset(pi/...

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  15. Fill ups: underset0overset(pi/4)int (|sinx-cosx|)/(sinx-cosx)dx is equ...

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  16. True or False: Identifinite integral of a function, if its exists, is ...

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  17. True or False: int 1/sqrt(1-x^2)dx=sin^-1x and also int 1/sqrt(1-x^2)d...

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  18. True or False: int x^ndx=(x^(n+1))/(n+1)+C, where n is any integer.

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  19. True or False: int |x|dx=pmx^2/2+C

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  20. True or False: int 1/(2x)dx=1/2log|x|+C and int 1/(2x)dx=1/2log|2x|+C

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