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

True or False:
`int 1/sqrt(1-x^2)dx=sin^-1x` and also `int 1/sqrt(1-x^2)dx=-cos^-1x`

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

Evaluate: int sqrt(x^2+1)dx

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int (2x)/sqrt(1-x^2-x^4) dx=

int(1)/(sqrt(a^2-x^2))dx = sin^-1(x/a)+C

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PRADEEP PUBLICATION-INTEGRALS-EXERCISE
  1. Fill ups: underset0overset(pi/4)int (|sinx-cosx|)/(sinx-cosx)dx is equ...

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

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

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

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

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  7. True or False: underseta oversetb int f(x)dx ne underseta oversetb int...

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  8. True or False: underset(-pi/2)overset(pi/2)int sin^3xdx=0.

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  9. True or False: underseta oversetb int f(x)dx, if it exists, is a uniqu...

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  10. True or False: underset0overset(pi/2)int log|sinx|dx ne underset0overs...

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  11. True or False: If f(2a-x)=-f(x), then underset0overset(2a)int f(x)dx=0...

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  12. True or False: If f is an odd function defined on an interval [-a,a], ...

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  13. True or False: If f is a periodic function with period p, then underse...

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  14. True or False: underset0overset(2pi)int sin^2xdx=4 underset0overset(pi...

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  15. True or False: underset0oversetpi int cos^2xdx ne 2underset0overset(pi...

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  16. True or False: int tan^-1x dx=xtan^-1x-1/2log(1+x^2)+C.

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  17. True or False: underset0overset(pi/2)int (sin^6x)/(sin^6x+cos^6x)dx=pi...

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  18. True or False: underseta oversetbint (f(x))/(f(x)+f(a+b-x))dx=(a+b)/2

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

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  20. True or False: underset0overset(pi)int xsinxdx ne pi

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