Solved Determine which of the integrals can be found using
Integral Rules Sheet. ∫ f ( g ( x )) g ′ ( x ) dx = ∫ f ( u ) du. ∫ f ( x ) g ′ ( x ) dx = f ( x ) g ( x ) − ∫ g ( x ) f ′ ( x ) dx.
E x + c : X ln(x) − x + c: ∫ f ( x ) g ′ ( x ) dx = f ( x ) g ( x ) − ∫ g ( x ) f ′ ( x ) dx. X 3 /3 + c: X 2 /2 + c: Web symbolab integrals cheat sheet common integrals: A x /ln(a) + c : ∫𝑥−1 𝑥=ln(𝑥) ∫ 𝑥 𝑥 =ln(𝑥) ∫ |𝑥 𝑥=𝑥√𝑥 2 2 ∫ 𝑥 𝑥= 𝑥 ∫sin(𝑥) 𝑥=−cos(𝑥) ∫cos(𝑥) 𝑥=sin(𝑥). ∫ f ( g ( x )) g ′ ( x ) dx = ∫ f ( u ) du.
Web symbolab integrals cheat sheet common integrals: X 3 /3 + c: E x + c : ∫𝑥−1 𝑥=ln(𝑥) ∫ 𝑥 𝑥 =ln(𝑥) ∫ |𝑥 𝑥=𝑥√𝑥 2 2 ∫ 𝑥 𝑥= 𝑥 ∫sin(𝑥) 𝑥=−cos(𝑥) ∫cos(𝑥) 𝑥=sin(𝑥). ∫ f ( g ( x )) g ′ ( x ) dx = ∫ f ( u ) du. A x /ln(a) + c : X 2 /2 + c: Web symbolab integrals cheat sheet common integrals: X ln(x) − x + c: ∫ f ( x ) g ′ ( x ) dx = f ( x ) g ( x ) − ∫ g ( x ) f ′ ( x ) dx.
