Advertisements
Advertisements
प्रश्न
State whether the following statement is True or False:
`int3^(2x + 3) "d"x = (3^(2x + 3))/2 + "c"`
पर्याय
True
False
Advertisements
उत्तर
False
APPEARS IN
संबंधित प्रश्न
Prove that `int_a^bf(x)dx=f(a+b-x)dx.` Hence evaluate : `int_a^bf(x)/(f(x)+f(a-b-x))dx`
Integrate the functions:
`1/(x-sqrtx)`
Integrate the functions:
`(e^(2x) - 1)/(e^(2x) + 1)`
Evaluate : `∫1/(3+2sinx+cosx)dx`
Write a value of\[\int\frac{\sin x}{\cos^3 x} \text{ dx }\]
Integrate the following functions w.r.t. x : tan5x
Evaluate the following integral:
`int (3cosx)/(4sin^2x + 4sinx - 1).dx`
Choose the correct options from the given alternatives :
`int sqrt(cotx)/(sinx*cosx)*dx` =
Evaluate `int (1 + x + x^2/(2!))`dx
Evaluate `int 1/(x (x - 1))` dx
Evaluate the following.
`int (1 + "x")/("x" + "e"^"-x")` dx
Evaluate the following.
`int "x"^5/("x"^2 + 1)`dx
Evaluate the following.
`int 1/(sqrt(3"x"^2 - 5))` dx
Evaluate: `int 1/(sqrt("x") + "x")` dx
`int 1/(cos x - sin x)` dx = _______________
`int e^x/x [x (log x)^2 + 2 log x]` dx = ______________
`int sqrt(1 + sin2x) dx`
`int ("e"^(2x) + "e"^(-2x))/("e"^x) "d"x`
To find the value of `int ((1 + logx))/x` dx the proper substitution is ______
`int (cos x)/(1 - sin x) "dx" =` ______.
If I = `int (sin2x)/(3x + 4cosx)^3 "d"x`, then I is equal to ______.
`int_1^3 ("d"x)/(x(1 + logx)^2)` = ______.
Solve the following Evaluate.
`int(5x^2 - 6x + 3)/(2x - 3)dx`
`int dx/((x+2)(x^2 + 1))` ...(given)
`1/(x^2 +1) dx = tan ^-1 + c`
`int (x + 1)/(x(1 + xe^x)) dx` is equal to
If \[x=g(t)\] and \[dx=g'(t)dt\], which formula represents integration by substitution?
Which substitution is appropriate for \[\sqrt{\frac{x}{a-x}}\], \[\sqrt{\frac{a-x}{x}}\], \[\sqrt{x(a-x)}\], or \[\frac{1}{\sqrt{x(a-x)}}\]?
For \[t=\cos x\], what is \[dt\]?
