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If f(x)=ae^(2x)+be^(x)+cx, satisfies the...

If f(x)`=ae^(2x)+be^(x)+cx`, satisfies the conditions f(0)=-1, f'(log 2)=31, `int_(0)^(log4) (f(x)-cx)dx=(39)/(2)`, then

A

a=5,b=6,c=3

B

a=5,b=-6,c=3

C

a=-5,b=6, c=3

D

none of these

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B
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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Chapter Test 1
  1. If f(x) satisfies the condition of Rolles theorem in [1, 2] then int1^...

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  2. The tangent lines for the curve y=int(0)^(x)2|t|dt which are parallel ...

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

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  4. int pi^(2pi)[sqrt(2)cosx]dx=

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  5. int(0)^(pi//3) [sqrt(3)tanx]dx=

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  6. int(3pi//2)^(5pi//3) [2cos x]dx=

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  7. int(0)^(50pi)| cos x|dx=

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  8. The values of 'a' for which int0^(a) (3x^(2)+4x-5)dx lt a^(3)-2 are

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  9. If (-1,2) and and (2,4) are two points on the curve y=f(x) and if g(x)...

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  10. If I(1)=int(1-x)^(x) x sin{x(1-x)}dx and I(2)=int(1-x)^(x) sin{x(1-x)}...

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  11. If int(-pi//3)^(pi//3) ((a)/(3)|tan x|+(b tan x)/(1+sec x)+c)dx=0 wher...

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  12. Estimate the absolute value of the integral int(10)^(19)(sinx)/(1+x^8)...

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  13. The smallest interval [a,b] such that int0^(1) (1)/(sqrt(1+x^(4)))dx...

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  14. Let I(n)=int(0)^(pi//2) sin^(n)x dx, nin N. Then

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  15. If f(x)=int(0)^(x) sin^(4)t dt, then f(x+2pi) is equal to

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  16. int(0)^(pi)(dx)/(1+3^(cos x)) is equal to:

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  17. Let int(0)^(a)f(x)dx = lambda and int(0)^(a)f(2a-x)dx=mu. Then int(0)^...

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  18. Evaluate : int((pi)/(4))^((3pi)/(4))(x)/(1+sinx)dx

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  19. Let I(n)=int(0)^(pi//2) cos^(n)x cos nx dx. Then, I(n):I(n+1) is equal...

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  20. The value of int(-1)^(1) max[2-x,2,1+x] dx is

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