If `int_(0)^(pi//2) log cos x dx =(pi)/(2)log ((1)/(2)),` then `int_(0)^(pi//2) log sec x dx =`A. `(pi)/(2)log ""((1)/(2))`B. `1-(pi)/(2)log ""((1)/(2))`C. `1+(pi)/(2) log ""((1)/(2))`D. `(pi)/(2) log 2`

If `int_(0)^(pi//2) log cos x dx =(pi)/(2)log ((1)/(2)),` then `int_(0

1.	If `int_(0)^(pi//2) log cos x dx =(pi)/(2)log ((1)/(2)),` then `int_(0)^(pi//2) log sec x dx =`A. `(pi)/(2)log ""((1)/(2))`B. `1-(pi)/(2)log ""((1)/(2))`C. `1+(pi)/(2) log ""((1)/(2))`D. `(pi)/(2) log 2`
Answer» Correct Answer - D

The objective function `Z=4x_(1) +5x_(2)`, Subject to ` 2x_(1) +x_(2) ge 7,2x_(1)+3x_(2) le 15,x_(2)le 3, x_(1),x_(2)ge 0` has minimum value at the pointA. On x-axisB. On y-axisC. At the originD. On the line parallel to x-axis
A box contains 6 pens , 2 of which are defective Two pens are taken randomy from the bax .If r,v. X., : Number of defective pens obtained , then standard deviation of x=A. `+- (4)/(3sqrt(5))`B. `(8)/(3)`C. `(16)/(45)`D. `(4)/(3sqrt(5))`
The Solution of the differential equation `(dy)/(dx)=tan ((y)/(x))+(y)/(x)` isA. `cos ((y)/(x))=cx`B. `sin ((y)/(x))=cx`C. `cos((y)/(x))=cy`D. `sin ((y)/(x))=cy`
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If `f(x)=log(sec^(2)x)^(cot2)` for `xne0` for x=0 is continuous at x=0, then K isA. `e^(-1) `B. `1`C. `e`D. `0`
`int_(0) ^(3) [x] dx=`__________ where [x] is greatest integer functionA. 3B. 0C. 2D. 1
if `int (1)/(sqrt(9-16x^(2)))dx=alpha sin ^(-1) (beta x) +c.` then ` alpha +(1)/(beta )=`A. `1`B. `(7)/(12)`C. `(19)/(12)`D. `(9)/(12)`
`f(x) = {{:(("tan"(pi)/(4)+x)^(1//x)",",x ne 0),(k",",x = 0):}` for what value of k, f(x) is continuous at x = 0 ?A. `e`B. `e^(-1)`C. `e^(2)`D. `e^(-2)`
If `int(1)/((x^(2)+4)(x^(2)+9))dx=A" tan"^(-1)(x)/(2)+Btan^(-1)((x)/(3))+C`, then A-B=A. `1/6`B. `1/(30)`C. `-(1)/(30)`D. `-(1)/(6)`
Which of the following statement pattern is a tautology?A. `p vv (qto p)`B. `~q to ~P`C. `(1 to p )vv (~p harr q)`D. `p ^^~p`