Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
`int ("d"x)/((x - 8)(x + 7))` =
पर्याय
`1/15 log((x + 2)/(x - 1)) + "c"`
`1/15 log((x + 8)/(x + 7)) + "c"`
`1/15 log((x - 8)/(x + 7)) + "c"`
(x – 8)(x – 7) + c
Advertisements
उत्तर
`1/15 log((x - 8)/(x + 7)) + "c"`
APPEARS IN
संबंधित प्रश्न
If `int_(-pi/2)^(pi/2)sin^4x/(sin^4x+cos^4x)dx`, then the value of I is:
(A) 0
(B) π
(C) π/2
(D) π/4
Integrate the function in x tan-1 x.
Integrate the function in (sin-1x)2.
Evaluate the following : `int x^2.log x.dx`
Evaluate the following:
`int x^2 sin 3x dx`
Evaluate the following:
`int sec^3x.dx`
Evaluate the following : `int cos sqrt(x).dx`
Evaluate the following: `int logx/x.dx`
Integrate the following functions w.r.t. x : `sqrt((x - 3)(7 - x)`
Choose the correct options from the given alternatives :
`int [sin (log x) + cos (log x)]*dx` =
Integrate the following w.r.t.x : log (x2 + 1)
Evaluate the following.
∫ x log x dx
Evaluate the following.
`int x^2 e^4x`dx
Evaluate the following.
`int (log "x")/(1 + log "x")^2` dx
Evaluate: `int "dx"/("x"[(log "x")^2 + 4 log "x" - 1])`
Evaluate: `int "dx"/(5 - 16"x"^2)`
`int (sin(x - "a"))/(cos (x + "b")) "d"x`
`int (cos2x)/(sin^2x cos^2x) "d"x`
`int sin4x cos3x "d"x`
Evaluate `int 1/(4x^2 - 1) "d"x`
`int x/((x + 2)(x + 3)) dx` = ______ + `int 3/(x + 3) dx`
`int 1/sqrt(x^2 - a^2)dx` = ______.
`inte^(xloga).e^x dx` is ______
`int logx dx = x(1+logx)+c`
Solve the following
`int_0^1 e^(x^2) x^3 dx`
If f'(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x)
Evaluate the following.
`intx^3/(sqrt(1 + x^4))dx`
The value of `int (x sin^-1)/(sqrt(1 - x^2)) dx` is equal to:
If \(u\) and \(v\) are differentiable functions, which formula is used for integration by parts?
