Semper Phone

Effortless
LEARNING

  • Improve effortlessly – just by living your life
  • Learn while waiting for your apps to load
  • Recommended by 5 universities
  • Community of over 1,000,000 learners
  • 50,000+ expert-made packs, or create your own
"One of the best learning apps" - CNET
  • Apple Play Store
  • Install Semper from the Play Store
Standart Integrale

Standart Integrale

Last update 

Integrale

Items (32)

  • x

    (1/2)x^2

  • 1/x

    ln|x|

  • a^x

    (a^x)/ln|a|

  • 1/(x*ln(x)

    ln|ln(x)| (x>0, x =/= 1)

  • sin (x)

    -cos(x)

  • cos(x)

    sin(x)

  • sin^2(x)

    1/2(x-sin(x)*cos(x))

  • cos^2(x)

    1/2(x+sin(x)*cos(x))

  • sin (ax)*cos (ax)

    -1/(2a)*cos^2(ax)

  • tan(x)

    -ln|cos(x)|

  • cot(x)

    ln|sin(x)|

  • 1/cos^2(x)

    tan(x)

  • -1/sin^2(x)

    cot(x)

  • arcsin(x)

    x arcsin(x) + sqrt(1-x^2)

  • arccos(x)

    x arccos(x) - sqrt(1-x^2)

  • arctan (x)

    x arctan (x) - 1/2 ln (1+ x^2))

  • 1/sqrt(1-x^2)

    arcsin(x)

  • -1/sqrt(q-x^2)

    arccos(x)

  • 1/(x^2+1)

    arctan(x)

  • x^2/((x^2+1))^2

    x - arctan(x)

  • sinh (x)

    cosh (x)

  • cosh (x)

    sinh (x)

  • tanh (x)

    ln cosh (x)

  • coth (x)

    ln | sinh (x) |

  • 1/(cosh^2(x)

    tanh (x)

  • -1/sinh^2(x)

    coth (x)

  • 1/sqrt(x^2+1)

    arsinh (x)

  • 1/sqrt(x^2-1) _________ x>1

    arcosh (x)

  • 1/(1-x^2) ___________ |x|<1

    arctanh(x)

  • 1/(1-x^2) ___________ |x|>1

    arcoth (x)

  • e^(-x^2)

    sqrt(Pi)/2 erf (x)

  • u'(x)/u(x)

    ln|u(x)|