Integration:Beispiele / Intégration: Exemples

Integrate[a5 x^5+a4 x^4 +a3 x^3 +a2 x^2 +a1 x^1 +a0 x^0, {x,x1,t}]

Integrate[a5 x^5+a4 x^4 +a3 x^3 +a2 x^2 +a1 x^1 +a0 x^0, x]

Integrate[15 x^5+12 x^4 -8 x^3 +32 x^2 -85 x^1 +22 x^0, {x,7,390}]

%//N

Integrate[Sin[x], {x,7,390}]

Integrate[Sin[x], x]

Integrate[E^x Sin[x]/Log[x] +ArcTan[5 x-4], x]

Integrate[E^x Sin[x]/Log[x] +ArcTan[5 x-4], {x,1,10}]

NIntegrate[E^x Sin[x]/Log[x] +ArcTan[5 x-4], {x,1,2}]

NIntegrate[E^x Sin[x]+ArcTan[5 x-4], {x,1,2}]

?Integrate

Integrate[E^x Sin[x] +ArcTan[5 x-4], x]

Integrate[1/x, x]

Integrate[Log[x], x]

Integrate[1/x^2, x]

Integrate[Log[x], {x,1,Infinity}]

Integrate[1/x, {x,1,Infinity}]

Integrate[1/x^2, {x,1,Infinity}]

Integrate[1/x^3, {x,1,Infinity}]

Integrate[1/x^4, {x,1,Infinity}]

Integrate[1/x^5, {x,1,Infinity}]

Integrate[1/x^n_IntegerQ, {x,1,Infinity}]

Integrate[Sin[x]^5, {x,1,100000000}]

Integrate[Sin[x]^5, {x,1,100000000}]//N

NIntegrate[Sin[x]^5, {x,1,100000000}]

NIntegrate[Sin[x]^5, {x,1,10}]

Integrate[Sin[x]^5, {x,1,10}]//N