Related InterviewSolutions

• The value of `int sinx^@ dx` isA. ` pi/180 cos x^(@) + c`B. ` 180/pi cos x^(@) + c `C. ` - 180 /pi cos x^(@) + c`D. ` - 180/pi cos x^(@) + c`
• `int sec^(2) x " cosec"^(2) xdx ` is a function of -A. tan xB. sin xC. cos xD. none of these
• If ` (dy)/(dx) = 3x^(2) - 2 ` , then the value of y is -A. `x^(3)- 2x + c `B. ` x^(3)- 2c `C. `3/2 x^(2) - 2x + c`D. `x^(3)- 2x^(2)+c`
• The value of `int 2^(3x)dx ` is -A. `(2^(3x))/(3log 2)`B. `(2^(3x))/(3 log 2 ) + c`C. ` (3 xx 2^(3x))/(log 2 )`D. ` 3 log 2 xx 2^(3x) + c`
• If `int (cos 4x+1)/(cot x - tan x ) dx ` = A f(x) + B , then -A. `A= -1/8`B. `B=1/2`C. f(x) has fundamental period `pi/2`D. f(x) is an odd function
• Let `f(x) = cos 7 x cos 3x and g(x) = sin 7 x sin 3x ` ` int g(x) dx = `A. ` 1/8 sin 4x - 1/20 sin 10 x+c`B. ` 1/4 sin 4x - 1/10 sin 10 x + c`C. ` 1/4 sin 4x + 1/20 sin 10 x + c `D. ` 1/4 sin 4x + 1/10 sin 10 x + c`
• Let `f(x) = cos 7 x cos 3x and g(x) = sin 7 x sin 3x ` ` int {f(x) + g(x) } dx = `A. `1/8 sin 4x+ c `B. `1/10 sin 10x + c `C. ` 1/4 sin 4x + c`D. `1/20 sin 10 x + c `
• If ` m != 0 ` , then the value of ` int sec mx tan mx dx ` is -A. ` "m sec " mx + c `B. ` m tan mx + c `C. ` (sec mx )/m + c `D. `(tan mx )/m + c`
• Let `f(x) = cos 7 x cos 3x and g(x) = sin 7 x sin 3x ` ` int f(x) dx = `A. ` 1/4 sin 4x + 1/10 sin 10 x + c `B. ` 1/8 sin 4x + 1/20 sin 10x + c `C. `1/8 sin 4x + 1/20 sin 10 x + c`D. none of these
• The value of `int e^(5logx)` dx is -A. ` (e^(5 log x))/5`B. ` (e^(5 log x ))/(5 log x ) +c`C. `(x^(5))/5 + c `D. ` (x^(6))/6 + c `