REVISE INTEGRATION

∫(3x⁴+2)⁴(12x³)dx

• ½(3x⁴+2)⁴+C
• (3x⁴+2)⁴+C
• ⅕(3x⁴+2)⁵+C
• ⅓(3x⁴+2)⁶+C

∫ 6 x (x² +1 )² dx

• ( x² + 1)³ + C

• 3 ( x² + 1)³ + C

• ( x² + 1)¹ + C

• 6 ( x² + 1)³ + C

∫ x (x² + 7 )^(1/3) dx

• (3/4) ( x²+ 7 )^(4/3) + C

• (3/8) ( x²+ 7 )^(4/3) + C

• ( x²+ 7 )^(4/3) + C

• (3/2) ( x²+ 7 )^(4/3) + C

 $\int_{ }^{ }e^{5x}dx\ =$  

•  $e^{5x}+c$  

•  $5e^{5x}+c$  

•  $\frac{1}{5}e^{5x}+c$  

• none of these

∫(cos x + 3x²)dx =

• -sin x + x³ + c

• sinx + x³ + c

• -sin x + 6x

• 🌞

 $\int\ \frac{2}{x+3}dx^{ }=$  

• 2ln|x+3| + c

• 2ln(x + 3) + c

•  $\frac{1}{2}\ln\left|x\ +\ 3\right|\ +\ c$  

• none of these

∫cos(4x+5)dx

• -¼sin(4x + 5) + C

• 4sin(4x + 5) + C

• ¼sin(4x + 5) + C

• 4cos(4x + 5) + C

 $\int\left(\frac{4}{x}-e_{ }^x\right)dx$  

•  $4\ln\left(x\right)-e^x$  

•  $4\ln\left(x\right)+e^x+C$  

•  $4\ln\left(x\right)-e^x+C$  

•  $\frac{4}{x^2}-4e^x+C$  

Which of the following is TRUE ?

• $\int_{ }^{ }\sin\ x\ \ dx\ =\ \cos\ x\ +c$

• $\int_{ }^{ }e^x\ \ dx\ =\ \frac{e^{x+1}}{x+1}\ +\ c$

• $\int_{ }^{ }\ \frac{1}{x}\ \ dx\ =\ \ln\ \left|x\ \right|\ +c$

• $\int_{ }^{ }\ x\ \ dx\ =\ 1\ +\ c$

 $\int_{ }^{ }x^3\ -\pi\ dx\ \ =$  

•  $3x^2\ +\ c$  

•  $\frac{x^4}{4}\ +\ c$  

•  $\frac{x^4}{4}\ -\ \pi x$  

•  $\frac{x^4}{4}\ -\ \pi x\ +\ c$