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FIITJEE-DEFINITE INTEGRAL -ASSIGNMENT PROBLEMS (SUBJECTIVE) (LEVEL-I)
- Evaluate int(-4)^(-5)e^((x+5^(2))) dx+3int(1//3)^(2//3)e^(9(x-(2)/(3))...
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- int0^(pi/2) (xsinxcosx)/(cos^4x+sin^4x) dx=
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- For n gt 0 int(0)^(2pi)(x sin^(2n)x)/(sin^(2n)x+cos^(2n)x)dx= ….
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- f(x)=sinx+int(-pi//2)^(pi//2)(sinx+tcosx)f(t)dt The range of f(x) is
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- If overset(1)underset(0)int(sint)/(1+t)dt=alpha, them the value of the...
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- Find f (x) if f(x)=lambdaint(0)^(pi//2)sinxcostf(t)dt+sinx where lambd...
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- lim(nrarroo)(1^(2)e^(1^(3//n^(3)))+2^(2)e^(2^(3)//n^(3))+......+n^(2)e...
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- Evaluate : underset(nrarroo)lim[(1+(1)/(n^(2)))^((2)/(n^(2)))(1+(2^(...
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- If int(ln2)^x(dt)/(sqrt(e^t-1))=pi/6, then x=
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- Find the value of int(0)^(pi)(cot^(-1)(sinx-(1)/(2))+cot^(-1)((2)/(2si...
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- The value of int(a)^(b)(x-a)^(3)(b-x)^(4)dx is ((b-a)^(m))/(n). Then (...
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- IfA=int0^pi(cosx)/((x+2)^2)dx ,t h e nint0^(pi/2)(sin2x)/(x+1)dxi se q...
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- Prove that int(1)^(e)(lnx)^(4)dx=9e-24.
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