Advertisements
Advertisements
प्रश्न
Evaluate : \[\int\limits_0^\frac{\pi}{4} \tan x dx\] .
Advertisements
उत्तर
I = \[\int\limits_0^\frac{\pi}{4} tan \ x \ dx\]
APPEARS IN
संबंधित प्रश्न
Find `int dx/(5 - 8x - x^2)`
Evaluate `int (cos 2x + 2sin^2x)/(cos^2x) dx`
Evaluate : \[\int\limits_0^\pi \frac{x \tan x}{\sec x + \tan x}dx\] .
Evaluate the following:
`int x/(sqrt(x) + 1) "d"x` (Hint: Put `sqrt(x)` = z)
Evaluate the following:
`int sqrt(("a" + x)/("a" - x)) "d"x`
Evaluate:
`∫ log_10 "x dx"`
`int (sin^8x - cos^8x)/(1 - 2sin^2x cos^2x) dx` is equal to
Evaluate: `int_0^(pi/2) cosx/(( cos x/2 + sin x/2)^3) dx`
Evaluate \[\frac{d}{dx}\left(\int f(x)\,dx\right).\]
Which expression gives the indefinite integral of \[f'(x)\]?
Differentiation and indefinite integration are what type of processes?
If \[\frac{d}{dx}[F(x)]=\frac{d}{dx}[G(x)],\] what follows?
Which formula is the Sum Rule?
For a constant \[k,\] which expression is the Constant Multiple Rule?
Which formula states the General Linearity Rule, where \[k_1,k_2,\ldots,k_n\] are real constants?
What is integration by the method of inspection?
Find an antiderivative of \[\cos 2x.\]
Evaluate \[\int\operatorname{cosec}x(\operatorname{cosec}x+\cot x)\,dx.\]
Evaluate \[\int\frac{1-\sin x}{\cos^2x}\,dx.\]
