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OBJECTIVE RD SHARMA ENGLISH-DEFINITE INTEGRALS-Exercise
- Evaluate: int(-pi/2)^(pi/2)log{(a x^2+b x+c)/(a x^2-b x+c)(a+b)|sinx|}...
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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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- Let d/(dx)F(x)=((e^(sinx))/x),x > 0. If int1^4 3/x e^sin (x^3)dx=F(...
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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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- Let f(x) be a continuous function such that f(a-x)+f(x)=0 for all x in...
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- The value of int(alpha)^(beta) x|x|dx, where a lt 0 lt beta, is
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- int(-pi//2)^(pi//2) (|x|)/(8 cos^(2)2x+1)dxhas the value
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- If [.] denotes the greatest integer function and f(x)={:{(3(x)-(5|x|...
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- Find the value of int(-1)^(1)[x^(2)+{x}]dx, where [.] and {.} denote t...
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- The value of int(-1)^(1)sin^(-1)[x^(2)+(1)/(2)]dx+int(-1)^(1) cos^(-...
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- Let Delta(y)=|{:(y+a,y+b,y+a-c),(y+b,y+c,y-1),(y+c,y+d,y-b+d):}| and,...
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- If I=int0^(1) (1)/(1+x^(pi//2))dx, then\
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- If int(0)^(x) f(t)dt=x^(2)+2x-int(0)^(x) tf(t)dt, x in (0,oo). Then, f...
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- If f(x)=min(|x|,1-|x|,1/4)AAx in R , then find the value of int(-1)^1...
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- If I(n)=int(0)^(pi) e^(x)(sinx)^(n)dx, then (I(3))/(I(1)) is equal to
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- Given that lim(n to oo)sum(r=1)^(n)(log(n^(2)+r^(2))-2logn)/(n)=log2...
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- Let f be a differentiable function such that f'(x) = f(x) + int(0)^(2)...
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- Let f be a differentiable function such that f'(x) = f(x) + int(0)^(2)...
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- The value of the integral int(-10)^(0) (|(2|x|)/([x]-3x)|)/(((2|x|)/(3...
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