Advertisements
Advertisements
प्रश्न
`int_0^"a" 4x^3 "d"x` = 81, then a = ______
उत्तर
3
APPEARS IN
संबंधित प्रश्न
Evaluate : `int_0^4 (1)/sqrt(4x - x^2)*dx`
Evaluate : `int_0^(pi/4) (sec^2x)/(3tan^2x + 4tan x +1)*dx`
Evaluate the following:
`int_((-pi)/2)^(pi/2) log((2 + sin x)/(2 - sin x)) * dx`
Evaluate the following : `int_((-pi)/4)^(pi/4) (x + pi/4)/(2 - cos 2x)*dx`
Evaluate the following : `int_0^4 [sqrt(x^2 + 2x + 3]]^-1*dx`
Evaluate the following definite integrals: `int_0^1 (x^2 + 3x + 2)/sqrt(x)dx`
Choose the correct alternative :
`int_2^3 x^4*dx` =
Choose the correct alternative :
`int_0^2 e^x*dx` =
Fill in the blank : `int_(-9)^9 x^3/(4 - x^2)*dx` = _______
State whether the following is True or False : `int_1^2 sqrt(x)/(sqrt(3 - x) + sqrt(x))*dx = (1)/(2)`
Solve the following : `int_1^2 e^(2x) (1/x - 1/(2x^2))*dx`
Solve the following : `int_(-4)^(-1) (1)/x*dx`
State whether the following statement is True or False:
`int_0^(2"a") "f"(x) "d"x = int_0^"a" "f"(x) "d"x + int_0^"a" "f"("a" - x) "d"x`
Evaluate the following definite integral:
`int_4^9 1/sqrtx dx`
Evaluate the following definite intergral:
`int_1^2(3x)/((9x^2-1))dx`
Evaluate the following definite intergral:
`int_1^3logxdx`
Evaluate the following definite intergral:
`int_-2^3 1/(x+5) · dx`
Evaluate the following definite integral:
`int_-2^3 1/(x+5).dx`
Evaluate the following definite integral:
`int_1^3 logx.dx`