समाकलन गणित - समाकलन

• A
  $\log x-x+c$
• B
  $1+\log x+c$
• ✓
  $x(\log x-1)+c$
• D
  $x(\log x+1)+c$

Answer: C.

• A
  $\sec x-x+C$
• B
  $\sec x \tan x+C$
• C
  $\tan x+x^2+C$
• ✓
  $\tan x-x+C$

Answer: D.

• A
  $\frac{1}{3} x^{\frac{1}{3}}+2 x^{\frac{1}{2}}+ C$
• B
  $\frac{2}{3} x^{\frac{2}{3}}+\frac{1}{2} x^2+ C$
• C
  $\frac{2}{3} x^{\frac{3}{2}}+2 x^{\frac{1}{2}}+ C$
• D
  $\frac{3}{2} x^{\frac{3}{2}}+\frac{1}{2} x^{\frac{1}{2}}+ C$

• A
  $\frac{x}{2}+\frac{1}{4} \sin 2 x+C$
• B
  $x^2+\frac{1}{4} \sin 2 x+C$
• C
  $\frac{x}{4}+\frac{1}{2} \sin x+C$
• D
  $\frac{x^2}{2}+\frac{1}{2} \sin ^2 x+ C$

• A
  $\frac{1}{2 e^{x^2}}+ C$
• B
  $\frac{2}{e^{x^2}}+ C$
• C
  $\frac{-2}{e^{x^2}}+ C$
• D
  $\frac{-1}{2 e^{x^2}}+ C$