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The integral equals
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
The integral
∫
[
4
x
2
+
sin
x
−
sin
x
]
d
x
\displaystyle \int \bigl[4x^{2}+\sin x-\sin x\bigr] \,dx
∫
[
4
x
2
+
sin
x
−
sin
x
]
d
x
equals (a)
4
x
3
3
−
cos
x
+
C
\displaystyle \frac{4x^{3}}{3}-\cos x + C
3
4
x
3
−
cos
x
+
C
(b)
2
x
3
−
cos
x
+
C
\displaystyle 2x^{3}-\cos x + C
2
x
3
−
cos
x
+
C
(c)
4
x
3
3
+
C
\displaystyle \frac{4x^{3}}{3}+C
3
4
x
3
+
C
(d)
4
x
3
3
−
2
cos
x
+
C
\displaystyle \frac{4x^{3}}{3}-2\cos x + C
3
4
x
3
−
2
cos
x
+
C
Related theory
Antiderivatives
Standard algebraic integrals
Integrals of standard functions
Integrals
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