Advertisements
Advertisements
प्रश्न
`int (7x + 9)^13 "d"x` ______ + c
Advertisements
उत्तर
`(7x + 9)^14/98`
APPEARS IN
संबंधित प्रश्न
Integrate the functions:
`(log x)^2/x`
Integrate the functions:
`1/(cos^2 x(1-tan x)^2`
Integrate the functions:
`((x+1)(x + logx)^2)/x`
Write a value of\[\int \cos^4 x \text{ sin x dx }\]
Write a value of\[\int\text{ tan x }\sec^3 x\ dx\]
Write a value of\[\int e^{ax} \sin\ bx\ dx\]
Integrate the following functions w.r.t. x : `(x.sec^2(x^2))/sqrt(tan^3(x^2)`
Evaluate the following:
`int (1)/sqrt((x - 3)(x + 2)).dx`
Evaluate `int (3"x"^3 - 2sqrt"x")/"x"` dx
Evaluate the following.
`int ("e"^"x" + "e"^(- "x"))^2 ("e"^"x" - "e"^(-"x"))`dx
Evaluate the following.
`int "x"^5/("x"^2 + 1)`dx
Evaluate the following.
`int 1/(x(x^6 + 1))` dx
Choose the correct alternative from the following.
`int "dx"/(("x" - "x"^2))`=
Evaluate: If f '(x) = `sqrt"x"` and f(1) = 2, then find the value of f(x).
`int ("e"^x(x - 1))/(x^2) "d"x` = ______
State whether the following statement is True or False:
`int3^(2x + 3) "d"x = (3^(2x + 3))/2 + "c"`
Evaluate `int(3x^2 - 5)^2 "d"x`
`int dx/(1 + e^-x)` = ______
`int(5x + 2)/(3x - 4) dx` = ______
`int[ tan (log x) + sec^2 (log x)] dx= ` ______
`int(7x - 2)^2dx = (7x -2)^3/21 + c`
The value of `intsinx/(sinx - cosx)dx` equals ______.
Evaluate the following.
`int 1/(x^2+4x-5) dx`
If f ′(x) = 4x3 − 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x)
`int dx/((x+2)(x^2 + 1))` ...(given)
`1/(x^2 +1) dx = tan ^-1 + c`
Evaluate the following.
`intx sqrt(1 +x^2) dx`
Evaluate:
`int sin^3x cos^3x dx`
Evaluate the following.
`int1/(x^2+4x-5)dx`
Which standard substitution is used for \[\sqrt{\mathrm{a}^2-x^2}\], \[\frac{1}{\sqrt{\mathrm{a}^2-x^2}}\], or \[\mathrm{a}^2-x^2\]?
