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CBSE CLASS XII
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Mathematics
List of top Mathematics Questions asked in CBSE CLASS XII
Integrate the function:
x
2
l
o
g
x
x^2 log\ x
x
2
l
o
g
x
CBSE CLASS XII
Mathematics
integral
Integrate the function:
x
l
o
g
2
x
x log \ 2x
x
l
o
g
2
x
CBSE CLASS XII
Mathematics
integral
Integrate the function: x logx
CBSE CLASS XII
Mathematics
integral
Integrate the function:
x
2
e
x
x^2e^x
x
2
e
x
CBSE CLASS XII
Mathematics
integral
Integrate the function:
x
s
i
n
3
x
xsin\ 3x
x
s
in
3
x
CBSE CLASS XII
Mathematics
integral
Integrate the function:
x
s
i
n
x
x sin \ x
x
s
in
x
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
1
(
e
x
−
1
)
\frac {1}{(e^x-1) }
(
e
x
−
1
)
1
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
1
x
(
x
4
−
1
)
\frac {1}{x(x^4-1)}
x
(
x
4
−
1
)
1
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
2
x
(
x
2
+
1
)
(
x
2
+
3
)
\frac {2x}{(x^2+1)(x^2+3)}
(
x
2
+
1
)
(
x
2
+
3
)
2
x
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
(
x
2
+
1
)
(
x
2
+
2
)
(
x
2
+
3
)
(
x
2
+
4
)
\frac {(x^2+1)(x^2+2)}{(x^2+3)(x^2+4)}
(
x
2
+
3
)
(
x
2
+
4
)
(
x
2
+
1
)
(
x
2
+
2
)
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
c
o
s
x
(
1
−
s
i
n
x
)
(
2
−
s
i
n
x
)
\frac {cos \ x}{(1-sin\ x)(2-sin\ x)}
(
1
−
s
in
x
)
(
2
−
s
in
x
)
cos
x
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
1
x
(
x
n
+
1
)
\frac {1}{x(x^n+1)}
x
(
x
n
+
1
)
1
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
1
x
4
−
1
\frac {1}{x^4-1}
x
4
−
1
1
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
3
x
−
1
(
x
+
2
)
2
\frac {3x-1}{(x+2)^2}
(
x
+
2
)
2
3
x
−
1
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
2
(
1
−
x
)
(
1
+
x
2
)
\frac {2}{(1-x)(1+x^2)}
(
1
−
x
)
(
1
+
x
2
)
2
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
x
3
+
x
+
1
x
2
−
1
\frac {x^3+x+1}{x^2-1}
x
2
−
1
x
3
+
x
+
1
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
5
x
(
x
+
1
)
(
x
2
−
4
)
\frac {5x}{(x+1)(x^2-4)}
(
x
+
1
)
(
x
2
−
4
)
5
x
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
2
x
−
3
(
x
2
−
1
)
(
2
x
+
3
)
\frac{2x-3}{(x^2-1)(2x+3)}
(
x
2
−
1
)
(
2
x
+
3
)
2
x
−
3
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
3
x
+
5
x
3
−
x
2
−
x
+
1
\frac{3x+5}{x^3-x^2-x+1}
x
3
−
x
2
−
x
+
1
3
x
+
5
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
x
(
x
+
1
)
(
x
+
2
)
\frac{x}{(x+1)(x+2)}
(
x
+
1
)
(
x
+
2
)
x
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
x
(
x
2
+
1
)
(
x
−
1
)
\frac{x}{(x^2+1)(x-1)}
(
x
2
+
1
)
(
x
−
1
)
x
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
1
−
x
2
x
(
1
−
2
x
)
\frac{1-x^2}{x(1-2x)}
x
(
1
−
2
x
)
1
−
x
2
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
2
x
x
2
+
3
x
+
2
\frac{2x}{x^2+3x+2}
x
2
+
3
x
+
2
2
x
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
x
(
x
−
1
)
(
x
−
2
)
(
x
−
3
)
\frac{x}{(x-1)(x-2)(x-3)}
(
x
−
1
)
(
x
−
2
)
(
x
−
3
)
x
CBSE CLASS XII
Mathematics
integral
Integrate the rational function:
3
x
−
1
(
x
−
1
)
(
x
−
2
)
(
x
−
3
)
\frac{3x-1}{(x-1)(x-2)(x-3)}
(
x
−
1
)
(
x
−
2
)
(
x
−
3
)
3
x
−
1
CBSE CLASS XII
Mathematics
integral
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