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TARGET PUBLICATION-DEFINITE INTEGRALS-COMPETITIVE THINKING
- int(0)^(pi//4)x sec^(2)x " " dx =
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- int(0)^(pi//2)e^(x)sinx dx=
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- Evaluate : oversetbundersetaint(logx)/(x) dx .
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- int(0)^(1) x tan^(-1) x " "dx =
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- int(0)^(1//sqrt(2))(sin^(-1)x)/((1-x^(2))^(3//2))dx=?
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- Evaluate int(0)^(1//2)(xsin^(-1)x)/(sqrt(1-x^(2)))dx.
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- The value of int(pi//4)^(3pi//4)(x)/(1+sinx) dx .. . . . .
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- If f(y)=e^y,g(y)=y,y>0, and F(t)=int0^t f(t-y)g(y) dy, then
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- int(0)^(2x)d^(x/2).sin(x/2+(pi)/4)dx=
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- I10=int0^(pi/2)x^(10)sinx dx then I10+90I8 is (A) 10(pi/2)^6 (B) 10(p...
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- If int0^1 x log(1+x/2) \ dx=a+b log\ 2/3, then a and b are
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- If I(m,n)=int0^1 t^m(1+t)^n.dt, then the expression for I(m,n) in term...
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- The value of ((5050)int0^1(1-x^50)^100 dx)/(int0^1 (1-x^50)^101 dx) i...
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- int(5)^(10) ""(1)/((x-1)(x-2))dx is equal to
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- The value of int(1)^(3)(dx)/(x(1+x^(2))) is
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- The value of int(2)^(3)(x+1)/(x^(2)(x-1))dx is
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- Evaluate int(0)^(pi//4)(sinx+cosx)/(9+16sin 2x)dx.
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- the value of integral int0^2 (log(x^2+2))/(x+2)^2dx is
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- int(0)^(1)(sin^(-1)(x/2))/xdx=
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- If I(1)=overset(e^(2))underset(e )int(dx)/(logx)"and "I(2)=overset(2)u...
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