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∫[tan^(-1)x]^2dx limit is 0 to 1 ...

f(x)= x^{2} +1 ,x<3 f(x)=5,x=3. f(x)=1- x^{2} ,x>3. g(x)=logx,0<x≤e g(x)=3 x>e. and h(x)=(fog)x-(gof)x....... then,h(1)+h'(1) is equal to...... a.log2 b)log(1/2) c)log(2/e) d)log(2e)... here log is to the base ' ...

Experts this is very easy so please dont tell d answer.....but lets see x+iy=0.....................1 x=-iy x/y=-i (x/y)2=(-i)2 (x/y)2=-1 x2=-y2 x=iy ==>x-iy=0....................2 arent one and 2 contradicting???? IS THERE ...

( 5 +2)1/3-( 5 -2)1/3 is a. Irrational no. b. Prime no. c. Rational no. d. Natural no. ...

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if D,E,F are the feet of the perpendiculars from vertices A,B,C to opp sides,and the semiperimeter of ΔDEF = inradius of ΔABC then cosA/2cosB/2cosC/2 = ? ...

Locus of intersection of perpendicular tangents to the curve 4y3 = 27x2 ...

chalte cahlte ye sawal(s) bhi dekh lo yaar[1] 1) in case of motion in a straight line : a)distance is equal to displacement b)distance is greater than displacement c)distance is less than displacement d)none Subjective type: ...

If θ1 and θ2 be the angles which the lines (x2+y2)(cos2 θ sin2α+ sin2θ)= (x tanθ - y sinθ)2 make with the x axis and θ= π/6 , then what is the value of (tan θ1+ tan θ2) ? answer:(-8/3 cosec 2α) ...

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*Image* Move only two match sticks in the picture so that the coin comes out of the cup like structure... Note.. Only two moves and Most important: The cup like structure should be restored(ie . it can be inverted , in sidewa ...

This is a repost. The last time I posted this one it got buried somewhere Find \sum_{r=1}^n \tan ^{-1} \frac{2r}{2r^4+1} ...

Q.The outer surface of a cylinder containing a gas is rubbed vigorously by polishing a machine. The cylinder and its gas become warm. Is the energy transferred to the gas heat or work ? ...

Q. When a tyre bursts, the air coming out is cooler that the surrounding air. Explain. ...

Q. When an object cooled down, heat is withdrawn from it. Does the entropy of the object decrease in the process ? If yes, is it a violation of the 2nd law of thermodynamics stated in terms of increase in entropy ? ...

YG file or GMP Brilliant's full syllabus simulator tests (or) Rankers test paper file.. I need it (especially the second one).. pls important ...

\int \frac{1}{1+x^{2n}}dx ...

A D.C. Pandey Question.. *Image* ...

Several successive number was written in a row.Determine the least value of the number of this sequence such that: there exist a way to order it again such that all 3 adjacent numbers(ie written one -next- the other) have sum ...

there a 2 inductors in parallel L1 and L2 and M12 is the mutial inductance . Find equivalent inductance... ...

seen in many threads that brillian correspondence course is best...so, i'll have it for 12th...now, 1 doubt is that, whatz there in that???is it something diff from books??? coz some say buy these books, and some about the co ...

If there are 'm' non concurrent and non parallel lines, then what is the maximum number of points which are equidistant from all the 'm' lines? ...

can anyone explain the algorithm for solving the tower of hanoi problem .. note : this algorithm should be implementable in the form of a computer program in c++ or java ... ...

question below ... ...

In a galvanic cell with Fe rod as cathode and Cr as anode and their sulphate salt solutions as electrolytes,if the salt bridge is replaced by a copper wire,then will E°cell drop to zero?why? SRP of Fe =-0.45V SRP of Cr = -0. ...

*Image* BH3 / THF H2O2 /NAOH ...

1 gram of commercial AgNO3 is dissolved in 50 ml water.It is treated with 50 ml of KI solution.The silver iodide thus precipitated is filtered off.The excess KI in the filtrate is titrated with M/10 KIO3 solution in presence ...

*Image* a gud one try ...

Consider a pH titration of 50 mL 0.1 M benzoic acid vs 0.1M NaOH at 25°C. The experimentally observed curve is shown below, on which points A, B, C…… F are marked. *Image* a) Which point corresponds to approximately 0.07 ...

Prove that the circum radius of a triangle is given by R = abc/4Δ where Δ is the area fo the triangle and a,b,c are the sides ...