Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
`intx^(2)3^(x^3) "d"x` =
पर्याय
`(3)^(x^3) + "c"`
`((3)^(x^3))/(3log3) + "c"`
`log 3*(3)^(x^3) + "c"`
`x^2 (3)^(x^2) + "c"`
उत्तर
`((3)^(x^3))/(3log3) + "c"`
APPEARS IN
संबंधित प्रश्न
Integrate the function in `x^2e^x`.
Integrate the function in x log x.
Integrate the function in x sec2 x.
`intx^2 e^(x^3) dx` equals:
Prove that:
`int sqrt(x^2 + a^2)dx = x/2 sqrt(x^2 + a^2) + a^2/2 log |x + sqrt(x^2 + a^2)| + c`
Evaluate the following : `int x tan^-1 x .dx`
Evaluate the following: `int x.sin^-1 x.dx`
Integrate the following functions w.r.t. x : `((1 + sin x)/(1 + cos x)).e^x`
If f(x) = `sin^-1x/sqrt(1 - x^2), "g"(x) = e^(sin^-1x)`, then `int f(x)*"g"(x)*dx` = ______.
Choose the correct options from the given alternatives :
`int [sin (log x) + cos (log x)]*dx` =
Integrate the following w.r.t.x : `(1)/(x^3 sqrt(x^2 - 1)`
`int(x + 1/x)^3 dx` = ______.
`int "dx"/(sin(x - "a")sin(x - "b"))` is equal to ______.
Find the general solution of the differential equation: `e^((dy)/(dx)) = x^2`.
If `int (f(x))/(log(sin x))dx` = log[log sin x] + c, then f(x) is equal to ______.
Find `int e^x ((1 - sinx)/(1 - cosx))dx`.
`int(1-x)^-2 dx` = ______
Evaluate:
`int1/(x^2 + 25)dx`
Evaluate the following.
`intx^3/sqrt(1+x^4)dx`
The value of `inta^x.e^x dx` equals
