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AAKASH SERIES-DEFINITE INTEGRALS-EXERCISE - II
- If A = int(0)^(1) (e^(t))/(1+ t)dt then int(0)^(1) e^(t) ln (1 + t) dt...
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- int(0)^(1) ((1-x^(2))dx)/(x^(4)+x^(2)+1)=
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- If k int(0)^(1) x f (3 x) dx = int(0)^(3) t f(t) dt then k=
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- If (d)/(dx) f(x) = g(x) then int(a)^(b) f(x) g(x) dx=
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- Let (d)/(dx) f(x) = (e^(sin x))/(x) , x gt 0. If int(1)^(4) 3/x e^(s...
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- Let f(x) be a function satisfying f'(x)=f(x) with f(0)=1andg(x) be a f...
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- Let F(x)= f(x) + f(1/x), where f(x)= int(1)^(x) (ln t)/(1+t)dt, then F...
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- If f(x)=(1+ tan x) [1+ tan(pi/4 - x)] and g(x) is a function with doma...
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- y= int(x)^(x^(2)) sqrt(5-t^(2))dt then the value of (dy)/(dx) at x= sq...
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- If int(e)^(x) t f(t)dt= sin x - x cos x - (x^(2))/(2) for all x in R -...
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- If int(0)^(b-c) f(x+c) dx = k int(b)^(c) f (x) dx then k=
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- If f is every where continuous function then 1/c int(ac)^(bc) f(x/c) d...
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- If int(0)^(pi) f(tan x) dx= lambda then int(0)^(2pi) f(tan x) dx=
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- int(0)^(2) (2x-2)/(2x-x^(2))dx=
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- Evaluate (i) int(0)^(pi/2) (sin^(2)x)/(sin x + cos x ) dx
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- int(0)^(1) Tan^(-1) ((2x-1)/(1+x-x^(2)))dx=
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- int(0)^(oo) (ln x)/(x^(2)+a^(2))dx=
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- int(0)^(pi//2) ln (tan x+ cot x)dx=
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- Evaluate the integral underset(0)overset(1)int (log(1+x))/(1+x^(2))d...
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- int(0)^(2pi) ln (1+Cos x) dx=
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