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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Chapter Test 1
- int(0)^(pi//3) [sqrt(3)tanx]dx=
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- int(3pi//2)^(5pi//3) [2cos x]dx=
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- int(0)^(50pi)os x|dx=
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- If a be a positive integer, the number of values of a satisfying int(0...
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- The values of 'a' for which int0^(a) (3x^(2)+4x-5)dx lt a^(3)-2 are
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- If (-1,2) and and (2,4) are two points on the curve y=f(x) and if g(x)...
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- If I(1)=int(1-x)^(k) x sin{x(1-x)}dx and I(2)=int(1-x)^(k) sin{x(1-x)}...
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- If int(-pi//3)^(pi//3) ((a)/(3)|tan x|+(b tan x)/(1+sec x)+c)dx=0 wher...
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- If x=int(2)^(sint) sin^(-1) theta theta and y=int(n)^(sqrt(t))(sinthe...
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- |int(10)^(19) (sin x)/(1+x^(8))dx| is less than
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- The smallest interval [a,b] such that int0^(1) (1)/(sqrt(1+x^(4)))dx...
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- Let I(n)=int(0)^(pi//2) sin^(n)x dx, nin N. Then
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- If f(x)=int(0)^(x) sin^(4)t dt, then f(x+2pi) is equal to
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- int(0)^(pi) (1)/(1+3^(cosx)) dx is equal to
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- Let int(0)^(a) f(x)dx=lambda and int(0)^(a) f(2a-x)dx=mu. Then, int(...
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- The value of int(pi//4)^(3pi//4) (x)/(1+sin x) dx is equal to
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- 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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- The value of int(-1)^(1) max[2-x,2,1+x] dx is
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- int(0)^(pi//4) sin(x-[x]) dx is equalto
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- The value of the integral int(-1)^(1) (x-[2x])dx,is
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