Advertisements
Advertisements
प्रश्न
Write a value of\[\int\text{ tan x }\sec^3 x\ dx\]
Advertisements
उत्तर
Let I=\[\int\]tan x . sec3x dx
Let sec x = t
⇒ sec x tan x dx = dt
\[ = \frac{\sec^3 x}{3} + C \left( \because x = \sec x \right)\]
APPEARS IN
संबंधित प्रश्न
Evaluate :`intxlogxdx`
Find : `int((2x-5)e^(2x))/(2x-3)^3dx`
Integrate the functions:
`1/(x + x log x)`
Integrate the functions:
`1/(x(log x)^m), x > 0, m ne 1`
Evaluate `int (x-1)/(sqrt(x^2 - x)) dx`
Write a value of\[\int\frac{\sin x + \cos x}{\sqrt{1 + \sin 2x}} dx\]
The value of \[\int\frac{\cos \sqrt{x}}{\sqrt{x}} dx\] is
Integrate the following w.r.t. x : x3 + x2 – x + 1
Integrate the following w.r.t. x : `int x^2(1 - 2/x)^2 dx`
Integrate the following w.r.t. x : `(3x^3 - 2x + 5)/(xsqrt(x)`
Evaluate the following integrals:
`int x/(x + 2).dx`
Integrate the following functions w.r.t. x : `(1 + x)/(x.sin (x + log x)`
Integrate the following functions w.r.t. x : `(x^n - 1)/sqrt(1 + 4x^n)`
Integrate the following functions w.r.t. x : `(2x + 1)sqrt(x + 2)`
Integrate the following functions w.r.t. x : `3^(cos^2x) sin 2x`
Evaluate the following : `int (1)/(5 - 4x - 3x^2).dx`
Evaluate the following integrals:
`int (7x + 3)/sqrt(3 + 2x - x^2).dx`
`int logx/(log ex)^2*dx` = ______.
Evaluate `int (3"x"^2 - 5)^2` dx
Evaluate the following.
`int x/(4x^4 - 20x^2 - 3) dx`
Evaluate the following.
`int 1/(sqrt(3"x"^2 - 5))` dx
Fill in the Blank.
`int 1/"x"^3 [log "x"^"x"]^2 "dx" = "P" (log "x")^3` + c, then P = _______
`int (cos2x)/(sin^2x) "d"x`
`int 1/(a^2 - x^2) dx = 1/(2a) xx` ______.
`int(7x - 2)^2dx = (7x -2)^3/21 + c`
If `int(cosx - sinx)/sqrt(8 - sin2x)dx = asin^-1((sinx + cosx)/b) + c`. where c is a constant of integration, then the ordered pair (a, b) is equal to ______.
`int dx/(2 + cos x)` = ______.
(where C is a constant of integration)
`int secx/(secx - tanx)dx` equals ______.
Evaluate `int(1+ x + x^2/(2!)) dx`
Evaluate the following.
`int x^3/(sqrt(1 + x^4))dx`
Evaluate `int (1)/(x(x - 1))dx`
Evaluate:
`int(sqrt(tanx) + sqrt(cotx))dx`
Evaluate the following.
`int x^3 e^(x^2) dx`
Evaluate the following.
`int "x"^3/sqrt(1 + "x"^4)` dx
Evaluate the following.
`int1/(x^2+4x-5)dx`
Evaluate `int(5x^2-6x+3)/(2x-3)dx`
What is the value of \[\int\sin^3x\cos^2x\,dx\]?
