Advertisements
Advertisements
प्रश्न
Evaluate the following integrals : `int sin x/cos^2x dx`
Advertisements
उत्तर
`int sin x/cos^2x dx = int(1/cosx)(sinx/cosx)dx`
= `intsec x tan x dx`
= sec x + c.
APPEARS IN
संबंधित प्रश्न
Evaluate :
`int1/(sin^4x+sin^2xcos^2x+cos^4x)dx`
Integrate the functions:
`1/(1 + cot x)`
Evaluate: `int_0^3 f(x)dx` where f(x) = `{(cos 2x, 0<= x <= pi/2),(3, pi/2 <= x <= 3) :}`
Write a value of
Write a value of\[\int \cos^4 x \text{ sin x dx }\]
Write a value of\[\int\frac{\sin x - \cos x}{\sqrt{1 + \sin 2x}} \text{ dx}\]
Write a value of\[\int e^x \left( \frac{1}{x} - \frac{1}{x^2} \right) dx\] .
Write a value of\[\int\sqrt{4 - x^2} \text{ dx }\]
The value of \[\int\frac{1}{x + x \log x} dx\] is
Evaluate the following integrals : `int sinx/(1 + sinx)dx`
Evaluate the following integrals:
`int x/(x + 2).dx`
Evaluate the following integrals:
`int(2)/(sqrt(x) - sqrt(x + 3)).dx`
Integrate the following functions w.r.t. x : `e^(3x)/(e^(3x) + 1)`
Integrate the following functions w.r.t. x : `sqrt(tanx)/(sinx.cosx)`
Integrate the following functions w.r.t.x:
`(2sinx cosx)/(3cos^2x + 4sin^2 x)`
Integrate the following functions w.r.t. x : `(1)/(2 + 3tanx)`
Integrate the following functions w.r.t. x : `(4e^x - 25)/(2e^x - 5)`
Integrate the following functions w.r.t. x : `(20 + 12e^x)/(3e^x + 4)`
Integrate the following functions w.r.t. x : cos7x
Evaluate the following : `int sqrt((9 + x)/(9 - x)).dx`
Evaluate the following:
`int (1)/sqrt((x - 3)(x + 2)).dx`
Integrate the following functions w.r.t. x : `int (1)/(4 - 5cosx).dx`
Choose the correct options from the given alternatives :
`int (e^x(x - 1))/x^2*dx` =
`int logx/(log ex)^2*dx` = ______.
Integrate the following with respect to the respective variable : `(x - 2)^2sqrt(x)`
Evaluate `int (3"x"^2 - 5)^2` dx
If f'(x) = x2 + 5 and f(0) = −1, then find the value of f(x).
Evaluate the following.
`int 1/(sqrt("x"^2 -8"x" - 20))` dx
`int (x^2 + x - 6)/((x - 2)(x - 1))dx = x` + ______ + c
`int (sin4x)/(cos 2x) "d"x`
`int (cos2x)/(sin^2x) "d"x`
`int cot^2x "d"x`
`int (7x + 9)^13 "d"x` ______ + c
`int (1 + x)/(x + "e"^(-x)) "d"x`
`int(5x + 2)/(3x - 4) dx` = ______
`int "e"^(sin^-1 x) ((x + sqrt(1 - x^2))/(sqrt1 - x^2)) "dx" = ?`
`int_1^3 ("d"x)/(x(1 + logx)^2)` = ______.
If f'(x) = `x + 1/x`, then f(x) is ______.
`int x/sqrt(1 - 2x^4) dx` = ______.
(where c is a constant of integration)
`int (logx)^2/x dx` = ______.
if `f(x) = 4x^3 - 3x^2 + 2x +k, f (0) = - 1 and f (1) = 4, "find " f(x)`
Evaluate the following
`int1/(x^2 +4x-5)dx`
Evaluate:
`int 1/(1 + cosα . cosx)dx`
Evaluate the following.
`intx sqrt(1 +x^2) dx`
Evaluate the following.
`int1/(x^2+4x-5)dx`
If f'(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
Evaluate:
`intsqrt(sec x/2 - 1)dx`
