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OBJECTIVE RD SHARMA-DEFINITE INTEGRALS-Exercise
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- If I(1)=int(3pi)^(0) f(cos^(2)x)dx and I(2)=int(pi)^(0) f(cos^(2)x) th...
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- If f(x) is a quadratic polynomial in x such that 6int0^1 f(x)dx-{f(0...
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- The value of integral int(-2)^(4) x[x]dx is
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- If h(a)=h(b), the value of the integral inta^b [f(g(h(x))]^(-1)f'(g...
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- If F(x)=(1)/(x^(2))int(4)^(x) [4t^(2)-2F'(t)]dt then F'(4) equals
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- If f(x) is an odd function defined on [-T//2,T//2] and has period T, t...
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- If for every integer n, int(n)^(n+1) f(x)dx=n^(2), then the value of ...
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- int(-pi+4)^(pi//4) (tan^(2)x)/(1+a^(x))dx is equal to
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- The value of int(0)^(pi//2) cosec(x-pi//3)cosec(x-pi//6)dx is
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- The value of int(-1)^(1) x|x|dx, is
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- int0^3 |x^(3)+x^(2)+3x|dx is equal to
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- The value of the integral int(0)^(3) (dx)/(sqrt(x+1)+sqrt(5x+1)) is
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- int(1)^(-1) (x^(3)+|x|+1)/(x^(2)+2|x|+1)dxis equal to
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- int(-pi/2)^(pi//2) log(e ){((ax^(2)+bx+c)/(ax^(2)-bx+c))(a+b)|sinx|}dx...
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- For any natural number n, the value of the integral int(0)^(sqrt(n))...
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- For any n in R^(+), the value of the integral int(0)^(n[x]) (x-[x])d...
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- If phi'(x)=(log(e )|sin x|)/(x),x ne pi,n in Z and int(1)^(3) (3log(...
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- The equation int(-pi//4)^(pi//4) {a|sin x|+(b sin x)/(1+cos x)+c}dx=...
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