Advertisements
Advertisements
प्रश्न
Integrate the following with respect to x.
`(x^3 + 3x^2 - 7x + 11)/(x + 5)`
उत्तर
`int (x^3 + 3x^2 - 7x + 11)/(x + 5) "d"x`
= `int [(x^2 - 2x + 3) - 4/((x + 5))] "d"x`
= `[x^3/3 - (2x^2)/2 + 3x] - 4 log |x + 5| + "c"`
= `x^3/3 - x^2 + 3x 4 log |x + 5| + "c"`
APPEARS IN
संबंधित प्रश्न
Integrate the following with respect to x.
(3 + x)(2 – 5x)
Integrate the following with respect to x.
2 cos x – 3 sin x + 4 sec2x – 5 cosec2x
Integrate the following with respect to x.
`(cos 2x + 2sin^2x)/(cos^2x)`
Integrate the following with respect to x.
`1/(sin^2x cos^2x) ["Hint:" sin^2x + cos^2x = 1]`
Integrate the following with respect to x.
`(2x + 5)/(x^2 + 5x - 7)`
Choose the correct alternative:
`int 1/x^3 "d"x` is
Choose the correct alternative:
`int (sin5x - sinx)/(cos3x) "d"x` is
Choose the correct alternative:
`int logx/x "d"x, x > 0` is
Choose the correct alternative:
The value of `int_2^3 f(5 - 3) "d"x - int_2^3 f(x) "d"x` is
Evaluate the following integral:
`int sqrt(2x^2 - 3) "d"x`
