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Recent questions tagged definite integral
+3
votes
1
answer
Evaluate : ∫3x - 1/(x + 2)^2 dx
asked
Apr 6, 2019
in
Class 12
by
kratos
indefinite integral
cbse
definite integral
integrals
class-12
+2
votes
1
answer
Evaluate: ∫([sec^–1 x] + [cot^–1 x]) dx for x ∈ [1,10π]
asked
Apr 6, 2019
in
JEE
by
kratos
definite integral
jee mains
jee
+1
vote
1
answer
Show that ∫f(sin 2x)sin x dx for x ∈ [0,π/2] = √2 ∫f(cos 2x)cos x dx for x ∈ [0,π/4].
asked
Apr 6, 2019
in
JEE
by
kratos
jee
jee mains
definite integral
+1
vote
1
answer
Find the point of maxima and minima for the function f(x) = ∫t(t + 1)(t – 2) dt for t ∈ [0,x].
asked
Apr 6, 2019
in
JEE
by
kratos
the maxima and minima
cbse
jee
definite integral
jee mains
integrals
jee main
class-12
+3
votes
1
answer
∫ dx/x(x^3 + 1) for x ∈ [1,2]
asked
Apr 6, 2019
in
JEE
by
kratos
jee
jee mains
definite integral
+3
votes
1
answer
∫ sinx/(3+4cos^2x) dx = .................
asked
Apr 5, 2019
in
Class 12
by
kratos
indefinite integral
cbse
definite integral
integrals
class-12
+1
vote
1
answer
Let I = ∫e^–x x^3/2 dx for x ∈ [0,∞] such that I = (3/L) × (π)^M/N, find the value of L + M + N.
asked
Apr 5, 2019
in
JEE
by
kratos
jee
definite integral
jee main
jee mains
class-12
+2
votes
1
answer
Evaluate ∫ 1/(x log x[log(log x)] dx on (1, ∞).
asked
Apr 5, 2019
in
JEE
by
kratos
class-11
jee
definite integral
jee mains
class-12
+1
vote
1
answer
Evaluate : ∫tan^-1x/(1 + x^2) dx, x ∈ [0,1]
asked
Apr 5, 2019
in
Class 12
by
kratos
class-12
cbse
definite integral
integrals
+3
votes
1
answer
Find the value of ∫[sin^–1 (cos x) + cos^–1 (sin x)] dx for x ∈ [0,π/2].
asked
Apr 5, 2019
in
JEE
by
kratos
definite integral
jee mains
jee
+2
votes
1
answer
Find the value of 5050 × (∫(1 – x^50)^100 dx/∫(1 – x^50)^101 dx) for x ∈ [0,1].
asked
Apr 5, 2019
in
JEE
by
kratos
definite integration
jee
definite integral
jee mains
class-12
+2
votes
1
answer
Prove that : ∫sin 2 x log(tan x) dx , x ∈ [0,π/2 ] = 0
asked
Apr 5, 2019
in
JEE
by
kratos
cbse
definite integration
jee
definite integral
bseb model set
jee mains
integrals
class-12
+3
votes
1
answer
Determine a positive integer n ≤ 5, such that ∫e^x(x – 1)^n dx for x ∈ [0,1] = 16 – 6e.
asked
Apr 4, 2019
in
JEE
by
kratos
definite integration
jee
definite integral
jee main
jee mains
+1
vote
1
answer
Evaluate ∫(1+cosx)/(x+sinx) dx
asked
Apr 4, 2019
in
Class 12
by
kratos
indefinite integral
cbse
definite integral
integrals
class-12
+2
votes
1
answer
Consider the following statements : Statement-I : ∫dx/x for x ∈ [2,4] = log 2
asked
Apr 4, 2019
in
Class 12
by
kratos
indefinite integral
cbse
definite integral
bseb model set
integrals
class-12
+3
votes
1
answer
If f(x) = ∫e^– t^2 dt for t ∈ [x^2,x^2 + 1], f(x) increases in (a) (– 2,2) (b) no value in x (c) (0,∞) (d) (–∞,0)
asked
Apr 4, 2019
in
JEE
by
kratos
jee
jee main
definite integral
+2
votes
1
answer
Evaluate: limn → ∞ ((1/√n) + (1/√2n) + (1/√3n) + (1/√4n) + ... + (1/2n))
asked
Apr 3, 2019
in
JEE
by
kratos
jee
jee mains
definite integral
+2
votes
1
answer
If L = ∫(log(1 + x)/(1 + x^2)) dx for x ∈ [0,1] and M = ∫log(1 + tanθ) dθ for θ ∈ [0,π/4] such that L + M = (π/A)log
asked
Apr 3, 2019
in
JEE
by
kratos
definite integration
jee
definite integral
jee mains
class-12
+2
votes
1
answer
find the distance between (-a cos Φ, b sinΦ) and (a sin Φ, -b cos Φ)
asked
Apr 2, 2019
in
JEE
by
kratos
straight lines
class-11
differential equations
jee
definite integral
trigonometric identities
class-10
jee mains
class-12
+2
votes
1
answer
Evaluate: ∫(log (1/x))^10 dx for x ∈ [0,1].
asked
Apr 2, 2019
in
JEE
by
kratos
jee
jee mains
definite integral
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