Advertisements
Advertisements
प्रश्न
`int(7x - 2)^2dx = (7x -2)^3/21 + c`
विकल्प
True
False
Advertisements
उत्तर
This statement is True.
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:
`x/(9 - 4x^2)`
Evaluate: `int 1/(x(x-1)) dx`
Evaluate `int (x-1)/(sqrt(x^2 - x)) dx`
Evaluate: `int (2y^2)/(y^2 + 4)dx`
Write a value of\[\int\frac{\sin 2x}{a^2 \sin^2 x + b^2 \cos^2 x} \text{ dx }\]
Integrate the following w.r.t. x : x3 + x2 – x + 1
Integrate the following w.r.t. x : `int x^2(1 - 2/x)^2 dx`
Evaluate the following integrals : `int sinx/(1 + sinx)dx`
Evaluate the following integrals : `int (3)/(sqrt(7x - 2) - sqrt(7x - 5)).dx`
Integrate the following functions w.r.t. x : `(1 + x)/(x.sin (x + log x)`
Integrate the following function w.r.t. x:
x9.sec2(x10)
Integrate the following functions w.r.t. x : sin5x.cos8x
Evaluate the following : `int sqrt((2 + x)/(2 - x)).dx`
Evaluate the following : `(1)/(4x^2 - 20x + 17)`
Evaluate the following integrals : `int sqrt((e^(3x) - e^(2x))/(e^x + 1)).dx`
Evaluate `int (3"x"^3 - 2sqrt"x")/"x"` dx
Evaluate the following.
`int (3"e"^"x" + 4)/(2"e"^"x" - 8)`dx
Evaluate `int (5"x" + 1)^(4/9)` dx
Evaluate: `int "e"^"x" (1 + "x")/(2 + "x")^2` dx
`int x^2/sqrt(1 - x^6)` dx = ________________
`int e^x/x [x (log x)^2 + 2 log x]` dx = ______________
`int ("e"^x(x + 1))/(sin^2(x"e"^x)) "d"x` = ______.
`int cos^3x dx` = ______.
Evaluate `int(1 + x + x^2/(2!))dx`
Evaluate:
`int sin^2(x/2)dx`
Evaluate `int 1/(x(x-1))dx`
For \[t=\cos x\], what is \[dt\]?
For indefinite integrals, what should be done after integration in the new variable?
