Mathematics

Integrate :
$$\sin \left( {ax + b} \right)\cos \left( {ax + b} \right)$$


SOLUTION
$$\sin { (ax+b) } \cos { (ax+b) } \\ \frac { 1 }{ 2 } (2\sin { (ax+b) } \cos { (ax+b) } )\\ \frac { 1 }{ 2 } \{ \sin { 2ax+2b } \} \\ { I }=\frac { 1 }{ 2 } \int { \{ \sin { 2ax+2b }  } \} { dx }\\ =\frac { 1 }{ 4a } (-\cos { (2ax))}+bx+C$$
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Subjective Medium Published on 17th 09, 2020
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