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Determine the value of .
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
Determine the value of
∫
0
1
x
3
+
2
x
2
+
x
+
1
x
2
+
1
d
x
\displaystyle\int_{0}^{1}\frac{x^{3}+2x^{2}+x+1}{x^{2}+1}\,dx
∫
0
1
x
2
+
1
x
3
+
2
x
2
+
x
+
1
d
x
. (a)
3
−
π
4
3-\dfrac{\pi}{4}
3
−
4
π
(b)
5
2
+
π
4
\dfrac{5}{2}+\dfrac{\pi}{4}
2
5
+
4
π
(c)
5
2
−
π
4
\dfrac{5}{2}-\dfrac{\pi}{4}
2
5
−
4
π
(d)
5
2
−
ln
2
\dfrac{5}{2}-\ln 2
2
5
−
ln
2
Related theory
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