Advertisements
Advertisements
प्रश्न
Choose the correct alternative :
`int_(-2)^3 dx/(x + 5)` =
पर्याय
`-log(8/3)`
`log(8/3)`
`log(3/8)`
`-log(3/8)`
उत्तर
Let I = `int_(-2)^3 (1)/(x + 5)*dx`
= `[log |x + 5|]_(-2)^3`
= [log |3 + 5| – log |–2 + 5|]
= log 8 – log 3
∴ I = `log(8/3)`.
APPEARS IN
संबंधित प्रश्न
Prove that:
`int 1/(a^2 - x^2) dx = 1/2 a log ((a +x)/(a-x)) + c`
Evaluate : `int_2^3 (1)/(x^2 + 5x + 6)*dx`
Evaluate : `int_0^4 (1)/sqrt(4x - x^2)*dx`
Evaluate : `int_0^(pi/2) cosx/((1 + sinx)(2 + sin x))*dx`
Evaluate the following : `int_0^3 x^2(3 - x)^(5/2)*dx`
Evaluate the following : `int_0^1 t^5 sqrt(1 - t^2)*dt`
Evaluate the following integrals : `int_2^7 sqrt(x)/(sqrt(x) + sqrt(9 - x))*dx`
Fill in the blank : `int_4^9 (1)/sqrt(x)*dx` = _______
State whether the following is True or False : `int_(-5)^(5) x^3/(x^2 + 7)*dx` = 0
State whether the following is True or False : `int_4^7 ((11 - x)^2)/((11 - x)^2 + x^2)*dx = (3)/(2)`
Solve the following : `int_(-2)^3 (1)/(x + 5)*dx`
Evaluate the following definite intergral:
`int_-2^3 1/(x+5) dx`
Evaluate the following definite integral:
`int_1^2 (3x)/((9x^2 - 1))dx`
Evaluate the following integrals:
`int_-9^9 (x^3)/(4 - x^2) dx`
Solve the following.
`int_0^1 e^(x^2) x^3 dx`
Solve the following.
`int_1^3 x^2 log x dx `
Solve the following.
`int_1^3 x^2 log x dx`
Evaluate the following integral:
`int_0^1x(1-x)^5dx`
Evaluate the following definite intergral:
`int_(-2)^3 1/(x + 5)dx`
Evaluate the following definite intergral:
`int_(1)^3logx dx`