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int 1/ sqrt (a^2 + x^2) dx = log ( x + s...

`int 1/ sqrt (a^2 + x^2) dx = log ( x + sqrt(x^2 + a^2)) + c`

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RESONANCE DPP ENGLISH-JEE MAINS-All Questions
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  2. Square of the distance between the integral points of intersection o...

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  3. int 1/ sqrt (a^2 + x^2) dx = log ( x + sqrt(x^2 + a^2)) + c

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  4. The expression (x+((x^3-1)^(1/2))/2)^5+""(x-((x^3-1)^(1/2))/2)^5 is a ...

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  5. Let alpha=l tsum(r=1)^(r-n)1/(r(r+1)) be root of a x^2+b x+c=0,b ,c ar...

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  6. If veca,vecb and vecc are non coplaner vectors such that vecbxxvecc=ve...

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  7. A vector of magnitude sqrt(2) coplanar with the vecrtor vec a= hat i+...

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  8. vecalpha and vecbeta are two unit vectos and vecr is a vector such tha...

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  9. If vec a= hat i+ hat j+ hat k , vec b=4 hat i+3 hat j+4 hat k and ve...

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  10. In the expansion of (1+x+x^3+x^4)^10, the coefficient of x^4 is ^40C4 ...

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  11. "Let " f(x) ={underset("log(1//2) (X +(1)/(2)), 0 lt X lt (3)/(2))unde...

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  12. Find the distance of the point (2, 3, -5) from the plane x+2y-z-9=0.

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  13. If differentiable function f(x) in inverse of g(x) then f^(g(x)) is eq...

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  14. f(x) is a continuous function for all real values of x and satisfies i...

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  15. If 3xx3 order matrix A is such that det(A)= 2 then |A(a d jA)| is (a...

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  16. If the coefficients of the rth, (r+1)t h ,(r+2)t h terms is the expans...

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  17. If sets A and B are defined as A = {(x, y) : y = e^(x), x in R} and ...

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  18. Find the area bounded by (a) y = (log)e|x|a n dy=0 (b) y=|(log)e|x|...

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  19. If int(0)^(x)f(t)dt=x^2+int+(x)^(1)t^2f(t)dt, then f((1)/(2)) is equal...

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  20. Let f(x)= minimum (x+1,sqrt(1-x)) for all xle1. Then the area bounded ...

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