Advertisements
Advertisements
प्रश्न
Integrate the following functions with respect to x :
cot2x + tan2x
Advertisements
उत्तर
`int cot^2x + tan^2x`
= `int ("cosec"^2x - 1 + sec^2x - 1) "d"x`
= `int("cosec"^2x + sec^2x - 2) "d"x`
= `int "cosec"^2x "d"x + int sec^2x "d"x - int2 "d"x`
= – cot x + tan x – 2x + c
= tan x – cot x – 2x + c
APPEARS IN
संबंधित प्रश्न
Evaluate : `int (1+logx)/(x(2+logx)(3+logx))dx`
Find the volume of solid generated by rotating the area bounded by x2+y2 =36 and the lines x = 0, x = 3 about X -axis.
Integrate the following functions with respect to x :
`(x^3 + 4x^2 - 3x + 2)/x^2`
Integrate the following functions with respect to x :
`[sqrt(x) + 1/sqrt(x)]^2`
Integrate the following functions with respect to x :
(2x – 5)(3x + 4x)
Integrate the following functions with respect to x :
sin2 5x
Integrate the following functions with respect to x :
`(1 + cos 4x)/(cos x - tan x)`
Integrate the following functions with respect to x :
`1/((x - 1)(x + 2)^2`
Integrate the following functions with respect to x :
`x^3/((x - 1)(x - 2))`
Integrate the following with respect to x :
`1/(x log x log (log x))`
Integrate the following with respect to x:
9xe3x
Integrate the following with respect to x:
x3 sin x
Integrate the following with respect to x:
`"e"^("a"x) cos"b"x`
Integrate the following with respect to x:
`"e"^(- 3x) cos x`
Integrate the following with respect to x:
`"e"^x ((x - 1)/(2x^2))`
Find the integrals of the following:
`1/sqrt(xx^2 + 4x + 2)`
Find the integrals of the following:
`1/sqrt((2 + x)^2 - 1)`
Choose the correct alternative:
`int ("e"^(6 log x) - "e"^(5logx))/("e"^(4logx) - "e"^(3logx)) "d"x` is
Choose the correct alternative:
`int (sec^2x)/(tan^2 x - 1) "d"x`
