Advertisements
Advertisements
Question
State whether the following statement is True or False:
`int sqrt(1 + x^2) *x "d"x = 1/3(1 + x^2)^(3/2) + "c"`
Options
True
False
Advertisements
Solution
True
RELATED QUESTIONS
Evaluate: `int sqrt(tanx)/(sinxcosx) dx`
Write a value of
Write a value of
Evaluate : `int ("e"^"x" (1 + "x"))/("cos"^2("x""e"^"x"))"dx"`
Integrate the following w.r.t. x:
`3 sec^2x - 4/x + 1/(xsqrt(x)) - 7`
Evaluate the following integrals : `int sqrt(1 + sin 2x) dx`
Evaluate the following integrals:
`int x/(x + 2).dx`
Integrate the following functions w.r.t. x : `(x.sec^2(x^2))/sqrt(tan^3(x^2)`
Integrate the following functions w.r.t. x : `(e^(2x) + 1)/(e^(2x) - 1)`
Integrate the following functions w.r.t.x:
cos8xcotx
Integrate the following functions w.r.t. x : `3^(cos^2x) sin 2x`
Evaluate the following : `(1)/(4x^2 - 20x + 17)`
Evaluate the following:
`int sinx/(sin 3x) dx`
Choose the correct options from the given alternatives :
`int (e^(2x) + e^-2x)/e^x*dx` =
Evaluate the following.
`int "x"^3/(16"x"^8 - 25)` dx
Evaluate the following.
`int 1/(sqrt(3"x"^2 + 8))` dx
To find the value of `int ((1 + log x) )/x dx` the proper substitution is ______.
`int (x^2 + 1)/(x^4 - x^2 + 1)`dx = ?
`int(5x + 2)/(3x - 4) dx` = ______
Evaluate `int (1+x+x^2/(2!))dx`
Evaluate `int(1 + x + x^2/(2!))dx`
Evaluate the following
`int x^3/sqrt(1+x^4) dx`
Evaluate:
`int sin^3x cos^3x dx`
Evaluate the following.
`int "x"^3/sqrt(1 + "x"^4)` dx
If f '(x) = 4x3 - 3x2 + 2x + k, f(0) = 1 and f(1) = 4, find f(x).
Evaluate `int(5x^2-6x+3)/(2x-3)dx`
Evaluate `int 1/(x(x-1)) dx`
Evaluate the following.
`int1/(x^2 + 4x-5)dx`
