Advertisements
Advertisements
Question
`int (sin4x)/(cos 2x) "d"x`
Advertisements
Solution
`int (sin4x)/(cos 2x) "d"x`
= `int (sin2(2x))/(cos2x) "d"x`
= `int (2sin2x cos2x)/(cos 2x) "d"x`
= `2 int sin 2x "d"x`
= `2*((-cos 2x))/2 + c`
= – cos 2x + c
APPEARS IN
RELATED QUESTIONS
Integrate the functions:
`1/(x + x log x)`
Integrate the functions:
`cos sqrt(x)/sqrtx`
Evaluate: `int 1/(x(x-1)) dx`
Write a value of
Write a value of
Write a value of
Write a value of
Evaluate the following integrals : `int sinx/(1 + sinx)dx`
Evaluate the following integrals : `int tanx/(sec x + tan x)dx`
Evaluate the following integrals : `int sqrt(1 + sin 2x) dx`
Evaluate the following integrals : `int(5x + 2)/(3x - 4).dx`
Integrate the following functions w.r.t. x : `e^(3x)/(e^(3x) + 1)`
Integrate the following functions w.r.t.x:
`(2sinx cosx)/(3cos^2x + 4sin^2 x)`
Integrate the following functions w.r.t. x : `(4e^x - 25)/(2e^x - 5)`
Integrate the following functions w.r.t.x:
cos8xcotx
Integrate the following functions w.r.t. x:
`(sinx cos^3x)/(1 + cos^2x)`
Evaluate the following : `int sqrt((9 + x)/(9 - x)).dx`
Evaluate the following:
`int sinx/(sin 3x) dx`
Integrate the following functions w.r.t. x : `int (1)/(3 + 2sin x - cosx)dx`
Integrate the following functions w.r.t. x : `int (1)/(cosx - sqrt(3)sinx).dx`
Evaluate the following integrals : `int sqrt((x - 7)/(x - 9)).dx`
If f'(x) = 4x3 − 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
Evaluate the following.
`int "x"^3/sqrt(1 + "x"^4)` dx
Evaluate the following.
`int 1/("x" log "x")`dx
Evaluate the following.
`int 1/(x(x^6 + 1))` dx
Evaluate the following.
`int ((3"e")^"2t" + 5)/(4"e"^"2t" - 5)`dt
Evaluate the following.
`int 1/(sqrt(3"x"^2 - 5))` dx
`int (x^2 + x - 6)/((x - 2)(x - 1))dx = x` + ______ + c
Evaluate:
`int (5x^2 - 6x + 3)/(2x − 3)` dx
Evaluate: `int sqrt("x"^2 + 2"x" + 5)` dx
`int 2/(sqrtx - sqrt(x + 3))` dx = ________________
`int "e"^x[((x + 3))/((x + 4)^2)] "d"x`
`int x^x (1 + logx) "d"x`
`int (7x + 9)^13 "d"x` ______ + c
Evaluate `int"e"^x (1/x - 1/x^2) "d"x`
`int_1^3 ("d"x)/(x(1 + logx)^2)` = ______.
`int (sin (5x)/2)/(sin x/2)dx` is equal to ______. (where C is a constant of integration).
`int 1/(sinx.cos^2x)dx` = ______.
The value of `sqrt(2) int (sinx dx)/(sin(x - π/4))` is ______.
Evaluate `int(1+ x + x^2/(2!)) dx`
Evaluate the following
`int x^3/sqrt(1+x^4) dx`
The value of `int ("d"x)/(sqrt(1 - x))` is ______.
Evaluate the following.
`int x^3/sqrt(1+x^4) dx`
Evaluate:
`int(5x^2-6x+3)/(2x-3)dx`
If f '(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
Evaluate the following.
`int1/(x^2 + 4x - 5) dx`
Evaluate `int (1 + x + x^2/(2!)) dx`
