Advertisements
Advertisements
प्रश्न
`int "dx"/(sin^2x cos^2x)` is equal to ______.
पर्याय
tanx + cotx + C
x + cotx)2 + C
tanx – cotx + C
(tanx – cotx)2 + C
Advertisements
उत्तर
`int "dx"/(sin^2x cos^2x)` is equal to tanx – cotx + C.
Explanation:
I = `int ("d"x)/(sin^2x cos^2x)`
= `int ((sin^2x + cos^2x)"d"x)/(sin^2xcos^2x)`
= `int sec^2 x"d"x + int "cosec"^2x "d"x`
= tanx – cotx + C
APPEARS IN
संबंधित प्रश्न
Evaluate :`int_(pi/6)^(pi/3) dx/(1+sqrtcotx)`
Find the integrals of the function:
sin3 (2x + 1)
Find the integrals of the function:
sin 4x sin 8x
Find the integrals of the function:
`(1-cosx)/(1 + cos x)`
Find the integrals of the function:
`cos x/(1 + cos x)`
Find the integrals of the function:
`(cos x - sinx)/(1+sin 2x)`
Find the integrals of the function:
`1/(sin xcos^3 x)`
Find the integrals of the function:
sin−1 (cos x)
Find the integrals of the function:
`1/(cos(x - a) cos(x - b))`
Evaluate: `int_0^π (x sin x)/(1 + cos^2x) dx`.
Evaluate `int_0^(3/2) |x sin pix|dx`
Find `int (2x)/((x^2 + 1)(x^4 + 4))`dx
Differentiate : \[\tan^{- 1} \left( \frac{1 + \cos x}{\sin x} \right)\] with respect to x .
Find the area of the triangle whose vertices are (-1, 1), (0, 5) and (3, 2), using integration.
Find: `int_ (cos"x")/((1 + sin "x") (2+ sin"x")) "dx"`
Find:
`int"dx"/sqrt(5-4"x" - 2"x"^2)`
Integrate the function `cos("x + a")/sin("x + b")` w.r.t. x.
Find: `intsqrt(1 - sin 2x) dx, pi/4 < x < pi/2`
`int (sin^6x)/(cos^8x) "d"x` = ______.
Evaluate the following:
`int ((1 + cosx))/(x + sinx) "d"x`
Evaluate the following:
`int (sinx + cosx)/sqrt(1 + sin 2x) "d"x`
`int (x + sinx)/(1 + cosx) "d"x` is equal to ______.
`int (cos^2x)/(sin x + cos x)^2 dx` is equal to
What does integration using trigonometric identities mean?
Which identity is used for an even power of cosine?
Which identity is used for the product of sine and cosine?
Which identity is used for \(\sin^3 x\)?
What is \(\int \cos^2 x\,dx\)?
Applying the product-to-sum identity to \(\sin 2x\cos 3x\) gives which expression?
What is \(\int \sin 2x\cos 3x\,dx\)?
What must always be added to an indefinite integral?
