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Recent questions tagged definite integration
+2
votes
1
answer
Evaluate ∫[tanx]dx for x ∈ [0, 5π/12] where [.] is the greatest integer function.
asked
Apr 7, 2019
in
JEE
by
kratos
definite integration
jee
jee mains
+2
votes
1
answer
The area of the region bounded by the lines y = mx, x = 1, x = 2 and x–axis is 6 Sq. unit then m is........
asked
Apr 5, 2019
in
JEE
by
kratos
integral calculus
definite integration
jee
jee mains
class-12
+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
+2
votes
1
answer
Evaluate ∫cosecx[cosecx + cotx]dx.
asked
Apr 4, 2019
in
JEE
by
kratos
indefinite integral
limits
class-11
definite integration
jee
derivatives
jee mains
class-12
+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
If ∫(1 - x/n)^n x^k - 1dx for x ∈ [0, n] = Rβ(k, n + 1), then R is equal to
asked
Apr 2, 2019
in
JEE
by
kratos
definite integration
jee
jee mains
+1
vote
1
answer
Evaluate ∫ln(1 + tanx)dx for x ∈ [0, π/4].
asked
Apr 1, 2019
in
JEE
by
kratos
definite integration
jee
jee mains
+3
votes
1
answer
If f(x) = asin(πx/2) + b, f1(1/2) = √2 and ∫f(x)dx for x ∈ [0, 1] = 2a/π, then
asked
Apr 1, 2019
in
JEE
by
kratos
definite integration
jee
definite integral
jee advanced
jee mains
+1
vote
1
answer
If f(x) is a continuous periodic function with ****** T, then prove that the integral of I = ∫f(x)dx for x ∈ [a, x + T] is
asked
Mar 31, 2019
in
JEE
by
kratos
definite integration
jee
jee mains
+3
votes
1
answer
Let f : R → R be a differentiable function such that f (a) = 0 = f (b) and f ′(a) f ′(b) > 0 for some a < b.
asked
Mar 31, 2019
in
JEE
by
kratos
differential calculus
definite integration
differential equations
jee
kvpy
jee mains
class-12
+1
vote
1
answer
The value of integral ∫(x^b - 1)/logxdx for x ∈ [0, 1] is
asked
Mar 30, 2019
in
JEE
by
kratos
definite integration
jee
jee mains
+1
vote
1
answer
lim(x →0) ∫(tsin(10t)dt for t ∈ [0, x])/x is equal to
asked
Mar 29, 2019
in
JEE
by
kratos
jee main 2020
definite integration
jee
jee main
jee mains
limit
differentiability
continuity
+3
votes
1
answer
Evaluate ∫ (pi + 4x^3)/(2 - cos(|x| + pi/3)) (for x → -pi/3, pi/3) dx
asked
Mar 27, 2019
in
JEE
by
kratos
definite integration
jee
jee mains
+2
votes
1
answer
∫ 1+x + √(x+x^2)/√x+√(1+x) dx is equal to
asked
Mar 25, 2019
in
JEE
by
kratos
jee main 2021
definite integration
jee
indefinite integration
jee main
+3
votes
1
answer
If for a real number y, [y] is the greatest integer less than or equal to y,
asked
Mar 23, 2019
in
JEE
by
kratos
definite integration
jee
jee mains
jee main
+3
votes
1
answer
Show that ∫e^-x^2dx for x ∈ [0, ∞] = √π/2
asked
Mar 22, 2019
in
JEE
by
kratos
integral calculus
definite integration
jee
jee mains
inverse laplace transforms
class-12
+1
vote
1
answer
The value of f′(0) is (A) 0 (B) 1/4 (C) 1/2
asked
Mar 22, 2019
in
JEE
by
kratos
definite integration
class-12
jee
jee mains
+1
vote
1
answer
The value of ∫(xsinx^2/(sinx^2 + sin(ln6 - x^2))dx for x ∈ [√ln3, √ln2] is
asked
Mar 21, 2019
in
JEE
by
kratos
definite integration
jee
jee mains
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