Advertisements
Advertisements
प्रश्न
Choose the correct options from the given alternatives :
`int sqrt(cotx)/(sinx*cosx)*dx` =
पर्याय
`2sqrt(cotx) + c`
`-2sqrt(cotx) + c`
`(1)/(2)sqrt(cotx) + c`
`sqrt(cotx) + c`
Advertisements
उत्तर
`-2sqrt(cotx) + c`
APPEARS IN
संबंधित प्रश्न
Show that: `int1/(x^2sqrt(a^2+x^2))dx=-1/a^2(sqrt(a^2+x^2)/x)+c`
Evaluate: `int sqrt(tanx)/(sinxcosx) dx`
Integrate the functions:
`(log x)^2/x`
Integrate the functions:
`xsqrt(1+ 2x^2)`
Integrate the functions:
`(e^(2x) - 1)/(e^(2x) + 1)`
Integrate the functions:
`(sin x)/(1+ cos x)^2`
Integrate the functions:
`1/(1 - tan x)`
Integrate the functions:
`(1+ log x)^2/x`
Evaluate `int 1/(3+ 2 sinx + cosx) dx`
Evaluate: `int (2y^2)/(y^2 + 4)dx`
Write a value of
Write a value of
Write a value of
Write a value of\[\int \cos^4 x \text{ sin x dx }\]
Write a value of\[\int\frac{1}{1 + e^x} \text{ dx }\]
Write a value of\[\int\frac{\sin 2x}{a^2 \sin^2 x + b^2 \cos^2 x} \text{ dx }\]
Find : ` int (sin 2x ) /((sin^2 x + 1) ( sin^2 x + 3 ) ) dx`
Evaluate the following integrals:
`int(2)/(sqrt(x) - sqrt(x + 3)).dx`
Integrate the following functions w.r.t. x : `(x^2 + 2)/((x^2 + 1)).a^(x + tan^-1x)`
Integrate the following functions w.r.t. x : `e^x.log (sin e^x)/tan(e^x)`
Integrate the following functions w.r.t. x : `(4e^x - 25)/(2e^x - 5)`
Choose the correct options from the given alternatives :
`int f x^x (1 + log x)*dx`
Integrate the following with respect to the respective variable : `(x - 2)^2sqrt(x)`
Evaluate the following.
`int "x"^3/sqrt(1 + "x"^4)` dx
Evaluate the following.
`int ("2x" + 6)/(sqrt("x"^2 + 6"x" + 3))` dx
Choose the correct alternative from the following.
The value of `int "dx"/sqrt"1 - x"` is
If f '(x) = `1/"x" + "x"` and f(1) = `5/2`, then f(x) = log x + `"x"^2/2` + ______
Fill in the Blank.
`int 1/"x"^3 [log "x"^"x"]^2 "dx" = "P" (log "x")^3` + c, then P = _______
`int x^2/sqrt(1 - x^6)` dx = ________________
`int ("e"^(3x))/("e"^(3x) + 1) "d"x`
`int 1/(xsin^2(logx)) "d"x`
Evaluate `int"e"^x (1/x - 1/x^2) "d"x`
`int sin^-1 x`dx = ?
`int (x^2 + 1)/(x^4 - x^2 + 1)`dx = ?
`int[ tan (log x) + sec^2 (log x)] dx= ` ______
Evaluate `int_(logsqrt(2))^(logsqrt(3)) 1/((e^x + e^-x)(e^x - e^-x)) dx`.
Evaluate `int_-a^a f(x) dx`, where f(x) = `9^x/(1 + 9^x)`.
Evaluate the following.
`int(20 - 12"e"^"x")/(3"e"^"x" - 4) "dx"`
Evaluate `int(1 + x + x^2/(2!))dx`
`int x^3 e^(x^2) dx`
Evaluate:
`int sqrt((a - x)/x) dx`
`int "cosec"^4x dx` = ______.
Evaluate the following:
`int x^3/(sqrt(1+x^4))dx`
Evaluate the following
`int x^3 e^(x^2) ` dx
Evaluate `int(1+x+x^2/(2!))dx`
Evaluate the following:
`int x^3/(sqrt(1 + x^4)) dx`
