Advertisements
Advertisements
Question
`int_0^"a" 4x^3 "d"x` = 81, then a = ______
Solution
3
APPEARS IN
RELATED QUESTIONS
Evaluate : `int_0^(pi/4) sin^4x*dx`
Evaluate : `int_0^(1/sqrt(2)) (sin^-1x)/(1 - x^2)^(3/2)*dx`
Evaluate : `int_0^(pi//4) (sin2x)/(sin^4x + cos^4x)*dx`
Evaluate the following : `int_0^pi x sin x cos^2x*dx`
Evaluate the following : `int_0^1 (cos^-1 x^2)*dx`
Evaluate the following : `int_0^(pi/2) 1/(6 - cosx)*dx`
Evaluate the following : `int_0^a 1/(a^2 + ax - x^2)*dx`
Evaluate the following definite integrals: `int_0^1 (x^2 + 3x + 2)/sqrt(x)dx`
Choose the correct alternative :
`int_(-9)^9 x^3/(4 - x^2)*dx` =
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_1^2 x^2*dx`
Evaluate the following definite integral:
`int_1^2 (3x)/((9x^2 - 1))dx`
Evaluate the following definite intergral:
`int_4^9 1/sqrt(x)dx`
Evaluate the following integral:
`int_0^1 x(1-x)^5 dx`
Solve the following.
`int_1^3 x^2 log x dx `
Solve the following.
`int_0 ^1 e^(x^2) * x^3`dx
Evaluate the integral.
`int_-9^9 x^3/(4-x^2) dx`
Evaluate the following integral:
`int_-9^9 x^3/(4-x^2) dx`
Solve the following.
`int_0^1e^(x^2) x^3 dx`