Antonim kata menangkap

∫ s in ( 3 x ) s in ( 6 x ) d x = 9 2 s i n 3 ( 3 x ) ​ + C
General Formulas and Concepts:
Pre-Calculus

Trigonometric Identities

Calculus
Differentiation

Derivatives
Derivative Notation

Derivative Property [Multiplied Constant]: d x d ​ [ c f ( x )] = c ⋅ f ′ ( x )
Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Integration

Integrals
[Indefinite Integrals] Integration Constant C

Integration Rule [Reverse Power Rule]: ∫ x n d x = n + 1 x n + 1 ​ + C
Integration Property [Multiplied Constant]: ∫ c f ( x ) d x = c ∫ f ( x ) d x
U-Substitution ;

Answered by Space | 2024-06-24

To evaluate the integral of sin ( 3 x ) sin ( 6 x ) , we apply the product-to-sum identities, converting the product into a sum of cosine functions. This allows us to integrate each term separately, resulting in the final expression. Thus, the solution is 6 1 ​ sin ( 3 x ) − 18 1 ​ sin ( 9 x ) + C
;

Answered by Space | 2025-01-13

Jawaban:melemparsemoga membantu :-)

Answered by grace8 | 2025-07-11