Explore topic-wise InterviewSolutions in .

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Explore topic-wise InterviewSolutions in .

`int 1.dx=`A. `x+k`B. `1+k`C. `(x^(2))/(2)+k`D. `log x+k`

`int(dx)/(sqrt(x))=`A. `sqrt(x)+k`B. `2sqrt(x)+k`C. `x+k`D. `2/3 x^(3//2)+k`

`int_(a)^(b) x^(5)dx=`A. `b^(5)-a^(5)`B. `(b^(6)-a^(6))/(6)`C. `(a^(6)-a^(6))/(6)`D. `a^(5)-b^(5)`

`int(dx)/(1+cos x)=`A. `tan.(x)/(2)+k`B. `1/2 tan.(x)/(2)+k`C. `2tan.(x)/(2)+k`D. `tan^(2). (x)/(2)+k`

यदि `y=sin(x^(3))`, तो `(dy)/(dx)=`A. `x^(3)cos(x^(3))`B. `3x^(2)sin(x^(3))`C. `3x^(2)cos(x^(3))`D. `cos(x^(3))`

`(d)/(dx)(sin^(-1)x+cos^(-1)x)=`

`(d)/(dx)(sin^(-1)x)=`A. `(1)/(sqrt(1-x^(2)))`B. `-(1)/(sqrt(1-x^(2)))`C. `2(1-x^(2))`D. `(1-x^(2))`

यदि `[(2x-y,5),(3,y)]=[(6,5),(3,-2)]`, तो `x=`A. 3B. 4C. 5D. 8

`|(1,x,x^(2)),(1,y,y^(2)),(1,z,z^(2))|=`A. `(x-y)(y+z)(z+x)`B. `(x+y)(y-z)(z-x)`C. `(x-y)(y-z)(z+x)`D. `(x-y)(y-z)(z-x)`

`tan^(-1)x =`A. `cot^(-1)x`B. `(1)/(cot^(-1)x)`C. `cot^(-1). (1)/(x)`D. `-cot^(-1)x`

यदि `f(x_(1))=f(x_(2))rArr x_(1)=x_(2)AA x_(1),x_(2) in A`, तो फलन `f:A rarr B` हैA. एकैकीB. अचरC. आच्छादकD. अनेकैक

`sin^(-1)(sqrt(3)/2)` का मुख्य मान हैA. `(2pi)/(3)`B. `(pi)/(6)`C. `pi/4`D. `pi/3`

रैखिक अवकल समीकरण `(dy)/(dx)+y sec^(2)x=tan x sec^(2)x` का समाकलन गुणक हैA. `tan x`B. `e^(tanx)`C. `log tan x`D. `tan^(2)x`