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If F(x)=int(x^(2))^(x^(3)) log t dt (x g...

If F(x)`=int_(x^(2))^(x^(3)) log t dt (x gt 0)`, then F'(x) equals

A

`(9x^(2)-4x)log x`

B

`(4x-9x^(2))log x`

C

`(9x^(2)+4x)logx`

D

none of these

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The correct Answer is:
A
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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
  1. The function F(x)=int(0)^(x) log((1-x)/(1+x))dx, is

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  2. int(1//3)^(3) (1)/(x)sin ((1)/(x)-x)dx is equal to

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  3. If F(x)=int(x^(2))^(x^(3)) log t dt (x gt 0), then F'(x) equals

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  4. If F(x)and g(x) are two integralable functions defined on [a,b], the...

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  5. If I=int(0)^(1) (dx)/(sqrt(1+x^(4)))dx then

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  6. If I=int(0)^(1) (dx)/(1+x^(4)), then

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  7. The value of int(-1)^(1) x|x|dx, is

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  8. If int(0)^(pi//2) cos^(n)x sin^(n) x dx=lambda int(0)^(pi//2) sin^(n)x...

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  9. The value of int(1//e )^(e )(|log x|)/(x^(2))dx, is

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  10. Assuming that f is everywhere continuous, (1)/(c )int(ac)^(bc)f((x)/(c...

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  11. (d)/(dx)(int(f(x))^(g(x)) phi(t)dt) is equal to

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  12. If f(x)=ae^(2x)+be^(x)+c x satisfies the conditions f(0)=-1, f'(log 2)...

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  13. The value of int(0)^(2) |cos((pix)/(2))| is

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  14. If int(0)^(1) cot^(-1)(1-x-x^(2))dx=k int(0)^(1) tan^(-1)x dx, then k=

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  15. If 0 lt a lt 1, then int(-1)^(1) (1)/(sqrt(1-2ax+a^(2)))dx is equal to

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  16. The value of int(0)^(pi//2) (x+sin x)/(1+cos x)dx, is

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  17. f(x)=|{:(sec x,cos x,,sec^(2) x+cosecx cot x),(cos^(2) x,cos^(2) x,,co...

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  18. If a is a fixed real number such that f(a-x)+f(a+x)=0, then int(0)^(2a...

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  19. The value of int(0)^(1) log((4+3 sin x)/(4+3 cos x))dx, is

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  20. The value of int(0)^(1) tan^(-1)((2x-1)/(1+x-x^(2)))dx is

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