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A DAS GUPTA-Properties and Application of definite Integrals-EXERCISE
- If g(x)=int0^xcos^4tdt , then g(x+pi) equals g(x)+g(pi) (b) g(x)-g(pi...
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- The value of int(-pi)^(pi)(2x(1+sinx))/(1+cos^(2)x)dx is
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- State whether the statements are true or false.If y=int0^xf(t)dt .Then...
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- State whether the statements are true or false.int0^(pi/2)dx/(sqrt(sin...
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- If int0^a{f(x)+f(-x)}dx=int-a^aphi(x)dxthen phi(x)=.
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- Evaluate: int0^pi (cos x)/(1+sinx)^2 dx
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- The value int(-pi/4)^(pi/4)x^2sin^-1xdx=.
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- If int0^pi x f(sinx) dx=A int0^(pi/2) f(sinx)dx, then A is (A) pi/2 (B...
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- The value of int0^(pi/2)sin2x.log tanxdx is
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- If int0^1e^t/(t+1) dt=a, then int(b-1)^b e^(-t)/(t-b-1) dt=
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- Evaluateint(-pi/2)^(pi/2)(sin2x)/(1+cos^3x)dx
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- If f is a continuous function on the interval [a,b] and there exists ...
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- If l(n)=int(1)^(e)(log x)^(n) d x, "then" l(n)+nl(n-1) equal to
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- If f(x)=|x-21|+|x-1|then evaluate int-2^2f(x)dx.
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- If f(x)=f(4-x), g(x)+g(4-x)=3 and int(0)^(4)f(x)dx=2, then : int(0)^(4...
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- It is known that f(x) is an odd function and has a period p. Prove tha...
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- The value of int(0)^(2)x^([x^(2)+1])(dx), where [x] is the greatest in...
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- Let f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+cos^(4)x)dx be an increasing f...
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- For x >0,l e tf(x)=int1^x(logt)/(1+t)dtdot Find the function f(x)+f(1/...
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- If overset(1)underset(0)int(sint)/(1+t)dt=alpha, them the value of the...
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