Advertisements
Advertisements
Question
Choose the correct option from the given alternatives :
`int_0^(pi/2) sn^6x cos^2x*dx` =
Options
`(7pi)/(256)`
`(3pi)/(256)`
`(5pi)/(256)`
`(-5pi)/(256)`
Solution
`(5pi)/(256)`
APPEARS IN
RELATED QUESTIONS
Evaluate : `int_3^5 (1)/(sqrt(2x + 3) - sqrt(2x - 3))*dx`
Evaluate : `int_0^(pi/4) (sec^2x)/(3tan^2x + 4tan x +1)*dx`
Evaluate : `int_0^(pi//4) (sin2x)/(sin^4x + cos^4x)*dx`
Evaluate : `int_0^(pi/2) (1)/(5 + 4 cos x)*dx`
Evaluate : `int_0^(pi/4) sec^4x*dx`
Evaluate the following:
`int_0^(pi/2) log(tanx)dx`
Evaluate the following : `int_0^1 t^2 sqrt(1 - t)*dt`
Choose the correct option from the given alternatives :
Let I1 = `int_e^(e^2) dx/logx "and" "I"_2 = int_1^2 e^x/x*dx`, then
Evaluate the following : `int_0^1 (1/(1 + x^2))sin^-1((2x)/(1 + x^2))*dx`
Evaluate the following : `int_0^(pi/2) 1/(6 - cosx)*dx`
Evaluate the following : `int_0^1 sin^-1 ((2x)/(1 + x^2))*dx`
Evaluate the following : If `int_0^k 1/(2 + 8x^2)*dx = pi/(16)`, find k
Choose the correct alternative :
`int_2^3 x^4*dx` =
Fill in the blank : `int_4^9 (1)/sqrt(x)*dx` = _______
Fill in the blank : `int_2^3 x/(x^2 - 1)*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_2^3 x/((x + 2)(x + 3))*dx`
Solve the following : `int_1^2 (x + 3)/(x (x + 2))*dx`
Solve the following:
`int_1^3 x^2 log x*dx`
Solve the following : `int_(-2)^3 (1)/(x + 5)*dx`
Solve the following : `int_0^1 (1)/(sqrt(1 + x) + sqrt(x))dx`
Solve the following : `int_0^4 (1)/sqrt(x^2 + 2x + 3)*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 `int_1^2 (3x)/((9x^2 - 1)) "d"x`
Evaluate `int_2^3 x/((x + 2)(x + 3)) "d"x`
`int_0^(pi/2) (cos x)/((4 + sin x)(3 + sin x))`dx = ?
Evaluate the following definite integral :
`int_1^2 (3"x")/((9"x"^2 - 1)) "dx"`
Evaluate the following integrals:
`int_0^1 x(1 - x)^5 dx`
Solve the following.
`int_1^3 x^2 logx dx`
Evaluate the following definite integral:
`int_4^9 1/sqrtx dx`
Evaluate the following definite intergral:
`int_-2^3 1/(x + 5)dx`
Evaluate:
`int_(-π/2)^(π/2) (sin^3x)/(1 + cos^2x)dx`
Evaluate the following definite intergral:
`int_4^9 1/sqrt(x)dx`
If `int_((-pi)/4) ^(pi/4) x^3 * sin^4 x dx` = k then k = ______.
Solve the following:
`int_0^1e^(x^2)x^3dx`
Evaluate the following definite intergral:
`int_1^2(3x)/(9x^2-1).dx`
Solve the following.
`int_1^3x^2 logx dx`
Solve the following.
`int_1^3x^2log x dx`
