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If f(0)=2, f'(x) =f(x), phi (x) = x+f(x)...

If `f(0)=2, f'(x) =f(x), phi (x) = x+f(x)` then `int_(0)^(1) f(x) phi (x) dx` is

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MCGROW HILL PUBLICATION-DEFINITE INTEGRALS-SOLVED EXAMPLES (LEVEL 1 ) Single Correct Answer Type Questions
  1. The value of int(0)^(oo) (dx)/((x^(2)+4)(x^(2)+9) ) is

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  2. Evaluate int-1 3/2|xsin(pix)|dx

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  3. If f(0)=2, f'(x) =f(x), phi (x) = x+f(x) then int(0)^(1) f(x) phi (x) ...

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  4. Evaluate: ("lim")(xvec2)(int0"x"cost^2dt)/x

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  5. If f(x) =int(1//x^(2) ) ^(x^2) cos sqrt(t) dt, then f'(1) is equal to

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  6. The least value of the function phi(x)=overset(x)underset(5pi//4)int...

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  7. Evaluate int0^a(log(1+a x)/(1+x^2)dx)

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  8. If I(m,n)= overset(1)underset(0)int x^(m) (ln x)^(n)dx then I(m,n) i...

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  9. If I(n) = int(0)^(1) ( cos^(-1) x)^(n) dx then I(6)- 360 I(2) is given...

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  10. If I(n)=underset(0)overset(pi//2)int x^(n) sin x dx, then I(4)+12I(2) ...

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  11. If a function f: [ 0, 27] to R is differentiable then for some 0 lt al...

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  12. The difference between the greatest and least values of f(x)= int0^x (...

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  13. The value of the integral overset(pi//4)underset(0)int (sinx+cosx)/(3+...

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  14. Find the points of minima for f(x)=int0^x t(t-1)(t-2)dt

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  15. The value of the integral int(0)^(pi//2)(dx)/(1+(1)/(6)sin^(2)x) is

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  16. int(e^(- 1))^(e^2)|(lnx)/x|dx

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  17. If f(x)={e^(cosxsinx ,for|x|lt=2)2,ot h e r w i s e ,t h e nint(-2)^3f...

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  18. int(pi//4)^(3pi//4)(dx)/(1+cos x)=

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  19. overset(pi^(2)//4)underset(0)int sin sqrt(x)dx equals to

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  20. The value of the integral overset(100pi)underset(0)int sqrt(1-cos2x)" ...

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