Advertisements
Advertisements
प्रश्न
`int (2(cos^2 x - sin^2 x))/(cos^2 x + sin^2 x)` dx = ______________
पर्याय
sin 2x + c
cos 2x + c
tan 2x + c
2 sin 2x + c
Advertisements
उत्तर
sin 2x + c
APPEARS IN
संबंधित प्रश्न
Evaluate : `int_0^pi(x)/(a^2cos^2x+b^2sin^2x)dx`
Find `intsqrtx/sqrt(a^3-x^3)dx`
Find the particular solution of the differential equation x2dy = (2xy + y2) dx, given that y = 1 when x = 1.
Integrate the functions:
(4x + 2) `sqrt(x^2 + x +1)`
Integrate the functions:
`x/(e^(x^2))`
Integrate the functions:
`1/(1 - tan x)`
Write a value of
Write a value of\[\int\frac{1}{1 + e^x} \text{ dx }\]
Write a value of
\[\int\frac{\sin x + 2 \cos x}{2 \sin x + \cos x} \text{ dx }\]
Evaluate : `int ("e"^"x" (1 + "x"))/("cos"^2("x""e"^"x"))"dx"`
Find : ` int (sin 2x ) /((sin^2 x + 1) ( sin^2 x + 3 ) ) dx`
Evaluate the following integrals : `int tanx/(sec x + tan x)dx`
Evaluate the following integrals: `int sin 4x cos 3x dx`
Evaluate the following integrals:
`int x/(x + 2).dx`
Integrate the following functions w.r.t. x : `(x.sec^2(x^2))/sqrt(tan^3(x^2)`
Integrate the following functions w.r.t. x : `(cos3x - cos4x)/(sin3x + sin4x)`
Integrate the following functions w.r.t. x:
`(1)/(sinx.cosx + 2cos^2x)`
Integrate the following functions w.r.t. x : tan5x
Integrate the following functions w.r.t. x : `(sin6x)/(sin 10x sin 4x)`
Integrate the following functions w.r.t. x : `int (1)/(2 + cosx - sinx).dx`
Choose the correct options from the given alternatives :
`int f x^x (1 + log x)*dx`
Evaluate `int 1/(x (x - 1))` dx
If f '(x) = `"x"^2/2 - "kx" + 1`, f(0) = 2 and f(3) = 5, find f(x).
Evaluate the following.
`int (20 - 12"e"^"x")/(3"e"^"x" - 4)`dx
Evaluate the following.
`int 1/(4"x"^2 - 1)` dx
Evaluate the following.
`int 1/("x"^2 + 4"x" - 5)` dx
Evaluate the following.
`int 1/(7 + 6"x" - "x"^2)` dx
Evaluate `int (5"x" + 1)^(4/9)` dx
Evaluate: `int (2"e"^"x" - 3)/(4"e"^"x" + 1)` dx
Evaluate: `int sqrt(x^2 - 8x + 7)` dx
State whether the following statement is True or False:
`int3^(2x + 3) "d"x = (3^(2x + 3))/2 + "c"`
`int "dx"/((sin x + cos x)(2 cos x + sin x))` = ?
`int "e"^(sin^-1 x) ((x + sqrt(1 - x^2))/(sqrt1 - x^2)) "dx" = ?`
`int (cos x)/(1 - sin x) "dx" =` ______.
`int[ tan (log x) + sec^2 (log x)] dx= ` ______
`int(sin2x)/(5sin^2x+3cos^2x) dx=` ______.
If f'(x) = `x + 1/x`, then f(x) is ______.
If `int [log(log x) + 1/(logx)^2]dx` = x [f(x) – g(x)] + C, then ______.
`int dx/(2 + cos x)` = ______.
(where C is a constant of integration)
Find `int (x + 2)/sqrt(x^2 - 4x - 5) dx`.
If f′(x) = 4x3 − 3x2 + 2x + k, f(0) = -1 and f(1) = 4, find f(x)
Evaluate the following.
`intxsqrt(1+x^2)dx`
Evaluate `int(1+x+x^2/(2!))dx`
Evaluate `int (1 + x + x^2/(2!)) dx`
Evaluate `int 1/(x(x-1)) dx`
Evaluate the following.
`int1/(x^2 + 4x - 5)dx`
