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RD SHARMA ENGLISH-DEFINITE INTEGRALS-All Questions
- If [dot]a n d\ {dot} denote respectively the greatest integer and frac...
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- The value of int0^(pi//2)(sqrt(cosx))/(sqrt(cos x)+sqrt(sin x))dx is p...
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- int0^pi1/(1+sinx)dx equals a. 0 b. 1//2 c. 2 d. 3//2
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- int0^oo1/(1+e^x)dx equals a. log2-1 b. log2 c. log4-1 d. log2
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- The value of int0^(2pi)sqrt(1+sin (x/2)dx is a. 0 b. 4 c. 2 d. 8
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- int0^(pi^2//4)(sinsqrt(x))/(sqrt(x))dx equals a. pi^2//8 b. pi//4 c. 2...
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- int0^(pi//2)1/(2+cos\ x)dx equals a. 1/3tan^(-1)(1/(sqrt(3))) b. 2/(sq...
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- 36/piint(pi//6)^(pi//3)(dx)/(1+sqrt(cotx)) equals to
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- Given that int0^oo(x^2)/((x^2+a^2)(x^2+b^2)(x^2+c^2))dx=pi/(2(a+b)(b+c...
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- int1^elogx\ dx= a. 1 b. e-1 c. e+1 d. 0
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- int1^(sqrt(3))1/(1+x^2)dx is equal to a. pi/(12) b. pi/4 c. pi/6 d. pi...
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- The value of int0^(pi//2)cosx\ e^(sin x)dx\ i s a. 1 b. e-1 c. 0 d. -...
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- If int0^a1/(1+4x^2)dx=\ pi/8 , then a equals a.pi/2 b. pi/4 c. 1/2 d. ...
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- int0^1f(x)dx=1,\ int0^1xf(x)dx=a ,\ int0^1x^2f(x)dx=a^2,\ t h e n\ int...
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- The value of int(-pi)^pisin^3xcos^2x\ dx\ is a.(pi^4)/2 b. (pi^4)/4 c...
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- int(pi//6)^(pi//3)1/(sin2x)dx\ is equal to a. (log)e3 b. (log)"e"sqr...
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- int(-1)^1|1-x|dx is equal to a.-2 b. 2 c. 0 d. 4
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- int0^1x/((1-x)^(54))dx= a. 9(pi/2)^9 b. 10(pi/2)^9 c. (pi/2)^9 d....
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- (lim)(n->oo){1/(2n+1)+1/(2n+2)++1/(2n+n)} a. I n\ (1/3) b. I n\ (2/3)...
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- The value of the integral int(-2)^2|1-x^2|dx is a.4 b. 2 c. -2 d. 0
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