2023-11-10

In [4]:

Integrate[1/Cos[x]^2,x]

Integrate[1/Cos[x]^2,x]

Out[4]:

In [9]:

Integrate[ArcTan[x]*x/Sqrt[1+x^2],x]

Integrate[ArcTan[x]*x/Sqrt[1+x^2],x]

Out[9]:

In [10]:

Integrate[ArcTan[x],x]

Integrate[ArcTan[x],x]

Out[10]:

In [11]:

Integrate[x/(1+Sin[x]),x]

Integrate[x/(1+Sin[x]),x]

Out[11]:

In [24]:

TrigReduce[FullSimplify[TrigReduce[D[x*(Tan[x]-Sec[x])+Log[Cos[x]]+Log[(1+Sin[x]/2)/(1-Sin[x])],x]]]]

TrigReduce[FullSimplify[TrigReduce[D[x*(Tan[x]-Sec[x])+Log[Cos[x]]+Log[(1+Sin[x]/2)/(1-Sin[x])],x]]]]

Out[24]:

In [ ]: