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CBSE
MATHEMATICS · Single correct · CBSE · Mathematics · Integrals · Integrals
Problem
1. Evaluate
∫
sin
19
x
cos
3
x
d
x
\int \sin ^{19} x \cos ^{3} x d x
∫
sin
19
x
cos
3
x
d
x
. (A)
sin
20
x
20
−
cos
4
x
4
+
C
\frac{\sin ^{20} x}{20}-\frac{\cos ^{4} x}{4}+C
20
s
i
n
20
x
−
4
c
o
s
4
x
+
C
(B)
sin
20
x
20
−
sin
22
x
22
+
C
\frac{\sin ^{20} x}{20}-\frac{\sin ^{22} x}{22}+C
20
s
i
n
20
x
−
22
s
i
n
22
x
+
C
(C)
sin
20
x
20
+
sin
22
x
22
+
C
\frac{\sin ^{20} x}{20}+\frac{\sin ^{22} x}{22}+C
20
s
i
n
20
x
+
22
s
i
n
22
x
+
C
(D)
sin
20
x
20
+
cos
4
x
4
+
C
\frac{\sin ^{20} x}{20}+\frac{\cos ^{4} x}{4}+C
20
s
i
n
20
x
+
4
c
o
s
4
x
+
C
Related theory
Integration Techniques
Standard trigonometric integrals
Integration using trigonometric identities
Integrals
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