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AAKASH SERIES-DEFINITE INTEGRALS-PRACTICE EXERCISE
- int(1)^(e) e^(x)((x-1)/(x^(2)))dx=
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- int(0)^(2pi) e^(x//2) sin (x/2 + pi/4) dx=
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- int(0)^(pi//2) (x sec^(2). x/2 + 2 tan. x/2)dx=
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- If f(x) = int(0)^(x) t.e^(t) dt then f'(-1)=
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- If y = int(0)^(x) (t^(2))/(sqrt(t^(2)+1))dt then (dy)/(dx) at x=1 is
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- If int(0)^(x)f(t)dt=x+int(x)^(1)tf(t)dt, then the value of f(1) is
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- Equation of the tangent line to the curve y= int(0)^(x) cos theta d th...
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- (d)/(dx) F(x) = (e^(sin x))/(x) , x gt 0. If int(1)^(4) (2e^(sin x^(2)...
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- If f(x)=|{:(cosx,1,0),(1,2cosx,1),(0,1,2cosx):}|" then "int(0)^(pi//2)...
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- int(0)^((pi)/(2n))(dx)/(1+Cot^(n)nx)=
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- By using the properties of definite integrals, evaluate the integrals ...
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- If int(0)^(pi//2) ln (sin x) dx= - pi/2 ln 2 then int(0)^(pi) ln (1+ c...
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- int(0)^(oo)(log(1+x^(2)))/(1+x^(2))dx=
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- int(0)^(1) ln Sin((pi x)/(2))dx=
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- If int(0)^(pi//2) sin^(4) x cos^(2)x dx = (pi)/(32) then int(0)^(pi//2...
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- int(0)^(pi//2) sin 2 x.ln(tan x)dx
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- int(0)^(pi//2) ln ((4+3 Sin x)/(4+3 Cos x))dx=
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- int(0)^(1)x(1-x)^(10)dx=
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- If f(x) and g(x) are continuous functions satisfysing f(x)=f(a-x)andg(...
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- int(0)^(oo) (x)/((1+x)(1+x^(2)))dx=
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