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AAKASH INSTITUTE ENGLISH-INTEGRALS-Objective Type Questions (More than one answer)
- The value of the integral int e^(sin^(2)x)(cos x+cos^(3)x)sin x dx is
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- If int(3x ^(3)-17)e^(2x)dx={Ax^(3)+Bx^(2)+Cx+D}e^(2x)+k then
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- The relation int(sin2x+cos2x)=(1)/(sqrt(2))sin(2x-a)+c is true for
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- The value of lambda for which int(4x^(3)+lambda4^(x))/(4^(x)+x^(4))dx=...
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- If primitive of sqrt((1+secx)) is 2fog(x)+c, then
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- Let f(0)=f'(0)=0 and f^(primeprime)(x)=sec^4x+4 then find f(x)
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- If intsec2x dx=f{g(x)}+c then
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- If inttan^(4)xdx=Atan^(3)x+Btanx+phi(x), then
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- If primitive of sin (log x) is f(x)*{sin g(x)- cos h(x)}+c, (c being c...
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- If int cos^(-1)x+cos^(-1)sqrt(1-x^2) dx= Ax+f(x)sin^(-1)x-2sqrt(1-x^2)...
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- If int (3x+4)/(x^3-2x-4) \ dx = log|x-2| + k logf(x) + c, then (i) f...
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- A primitive of sin 6x is
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- If int(sinx)/(sin(x-a))dx=f(x)sina+g(x)cosa+c, then
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- If f(x)=int1^x(lnt)/(1+t)dt where x>0, then the values of of x satisfy...
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- The value of int0^oo(x dx)/((1+x)(1+x^2)) is equal to
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- If f(x)=int0^x(sint)/t dt ,x >0, then
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- The value of int0^1(2x^2+3x+3)/((x+1)(x^2+2x+2))dx is
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- inta^b sgn(x)dx equals (a,b in R)
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- IfAn=int0^(pi/2)(sin(2n-1)x)/(sinx)dx ,bn=int0^(pi/2)((sinn x)/(sinx))...
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- int0^1 sin(x^2+2x+1)dx-int1^2 sinx^2 dx is equal to (i)0 (ii)1 (ii...
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