STATEMENT 1 : The value of int(-4)^(-5)s...

STATEMENT 1 : The value of `int_(-4)^(-5)sin(x^2-3)dx+int_(-2)^(-1)sin(x^2+12 x+33)` is zero. STATEMENT 2 : `int_(-a)^af(x)dx=0iff f(x)` is an odd function.

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CENGAGE ENGLISH-INTEGRALS-All Questions

Let f(x) is continuous and positive for x in [a , b],g(x) is continu...
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Evaluate: int(-5)^5x^2[x+1/2]dx(w h e r e[dot] denotes the greatest i...
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STATEMENT 1 : The value of int(-4)^(-5)sin(x^2-3)dx+int(-2)^(-1)sin(x^...
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Evaluate: int0^(2pi)[sinx]dx ,where[dot] denotes the greatest inte...
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STATEMENT 1 : The value of int0^1tan^(-1)((2x-1)/(1+x-x^2)) dx=0 STAT...
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Evaluate: int0^oo[2e^(-x)]dx ,w h e r e[x] represents greatest int...
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STATEMENT 1 : On the interval [(5pi)/4,(4pi)/3]dot the least value of ...
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Consider the function f(x) satisfying the relation f(x+1)+f(x+7)=0AAx ...
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Evaluate: int0^((5pi)/(12))[tanx]dx , where [dot] denotes the grea...
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Consider I1=int0^(pi//4)e^(x^2)dx ,I2=int0^(pi//4)e^x dx ,I3=int0^(pi/...
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Evaluate: int0^2[x^2-x+1]dx ,w h e r e[dot] denotos the greatest inte...
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If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...
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If [x] denotes the greatest integer less than or equal to x , then fin...
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The value of int0^(2pi)[2sinx]dx ,w h e r e[dot] represents the great...
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f(x)=int1^x(tan^(-1)(t))/t dt \ AAx in R^+, then find the value of f...
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Let f be a positive function. Let I1=int(1-k)^k xf([x(1-x)])dx , ...
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Find the points of minima for f(x)=int0^x t(t-1)(t-2)dt
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Iff(x)=e^(g(x))a n dg(x)=int2^x(tdt)/(1+t^4), then find the value of ...
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If g(x)=int0^xcos^4tdt , then g(x+pi) equals (a)g(x)+g(pi) (b) g(...
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