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Sorry friends . actual Question is \displaystyle \mathbf{\int\frac{(1+x)\sin x}{(x^2+2x)\cos^2 x-(1+x)\sin 2x}dx}

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If Z_{1}\;,Z_{2} and Z_{3} are complex numbers that lie on a straight line L and Z_{4} = aZ_{1}+bZ_{2}+Z_{3} also lies on L,Then the appropriate values of 'a' and 'b' are options:: (a)2,-5 (b)3,-7 (c)2,4 (d)None of these

(1) Let N be the no. of 4 digit no. which conatain not more then 2 different Digit. Then the sum of digit of N is

Can We solve it in terms of elementry function. \displaystyle \mathbf{\int\frac{(1+x)\sin x}{(x^2+2x)\cos^2 x+(1+x)\sin 2x}dx}

How many of the first 1000 positive Integers has distinct Digits.

Let a,b,c,d be four integers such that ad is odd and bc is even, then ax^3+bx^2+cx+d = 0 has options:: (a) at least one irrational roots (b) all three rational roots (c) all three integral roots (d) none of these

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If f(2-x) = f(2+x) and f(4-x) = f(4+x) and \displaystyle \int_{0}^{2}f(x)dx = 5. Then \displaystyle \int_{0}^{50}f(x)dx =

No Shadowdude i mean floor function. Rolpsy can you explain me the answer. Thanks

Re: MX2 Integration Marathon \displaystyle \int_{0}^{\infty}\frac{\ln(x)}{(a^2+x^2)^3}dx where a>0

Re: MX2 Integration Marathon \int_{0}^{\pi}\frac{\sin (2013x)}{\sin (x)}dx

Re: MX2 Integration Marathon \int_{\sqrt{\ln(2)}}^{\sqrt{\ln(3)}}\frac{x.\sin(x^2)}{\sin(x^2)+\sin(\ln(6)-x^2)}dx

Re: MX2 Integration Marathon Let I = \int_2^4\ \frac{\sqrt{\ln(9-x)} dx}{\sqrt{\ln(9-x)}+\sqrt{\ln(x+3)}} = \int_2^4\ \frac{\sqrt{\ln(9-(2+4-x))} dx}{\sqrt{\ln(9-(2+4-x))}+\sqrt{\ln((2+4-x)+3)}} Using \int_{a}^{b}f(x)dx = \int_{a}^{b}f(a+b-x)dx I = \int_2^4\ \frac{\sqrt{\ln(9-x)}...

Re: MX2 Integration Marathon answer..........................................

\displaystyle \int_{0}^{[x]}\left[x - \frac{1}{2}\right]dx = where [x] = greatest integer function

Thanks friends Got it

Thanks Friends Got it

if x \cos^3y+ 3x \cos y .\sin^2y= 14 and x\sin^3y +3x\cos^2y .\sin y =13, then find the value of x and y.

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