Advertisements
Advertisements
प्रश्न
Fill in the blank : `int_0^2 e^x*dx` = ________
उत्तर
`int_0^2 e^x*dx`
= `[e^x]_0^2`
= e2 – e0
= e2 – 1.
APPEARS IN
संबंधित प्रश्न
Evaluate : `int_0^(1/sqrt(2)) (sin^-1x)/(1 - x^2)^(3/2)*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^3 sin^4x*dx`
Evaluate the following : `int_(-2)^(3) |x - 2|*dx`
Evaluate the following definite integrals: `int_0^1 (1)/(sqrt(1 + x) + sqrt(x))*dx`
Evaluate the following definite integral:
`int_1^2 (3x)/((9x^2 - 1))*dx`
Choose the correct alternative :
`int_"a"^"b" f(x)*dx` =
State whether the following is True or False : `int_2^7 sqrt(x)/(sqrt(x) + sqrt(9 - x))*dx = (9)/(2)`
Solve the following : `int_2^3 x/((x + 2)(x + 3))*dx`
Solve the following : `int_0^1 (x^2 + 3x + 2)/sqrt(x)*dx`
Choose the correct alternative:
`int_(-2)^3 1/(x + 5) "d"x` =
State whether the following statement is True or False:
`int_0^1 1/(2x + 5) "d"x = log(7/5)`
Evaluate the following definite intergral:
`int_1^2 (3x)/((9x^2 - 1))dx`
Evaluate the following definite intergral:
`int _1^3logxdx`
Evaluate the following integral:
`int_0^1 x(1-x)^5 dx`
Evaluate the following definite integral:
`int_-2^3 1/(x + 5) dx`
Evaluate the following definite integrals: `int_4^9 (1)/sqrt(x)*dx`
Evaluate the following definite intergral:
`\underset{4}{\overset{9}{int}}1/sqrt(x)dx`
Evaluate the following definite intergral:
`int_-2^3 1/(x+5)dx`
