Finding value of an integral Announcing the arrival of Valued Associate #679: Cesar Manara Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)Can someone help me to evaluate this integral:Calculus Question: Improper integral $int_0^inftyfraccos(2x+1)sqrt[3]xdx$Integral $int_pi/2+delta^3pi/2-delta x^R cos varphi d varphi$ boundedEvaluate $int_0^1 fraclog(x)sqrt1 - x^2$ complex integrationIntegral of $e^2sin x$Definite integral (exact value): Help solving this definite integralIntegral of log over a square rootMIT 2015 Integration QuestionLooking for idea to solve an integralDefinite integral with logarithm and sine

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Finding value of an integral



Announcing the arrival of Valued Associate #679: Cesar Manara
Planned maintenance scheduled April 23, 2019 at 23:30 UTC (7:30pm US/Eastern)Can someone help me to evaluate this integral:Calculus Question: Improper integral $int_0^inftyfraccos(2x+1)sqrt[3]xdx$Integral $int_pi/2+delta^3pi/2-delta x^R cos varphi d varphi$ boundedEvaluate $int_0^1 fraclog(x)sqrt1 - x^2$ complex integrationIntegral of $e^2sin x$Definite integral (exact value): Help solving this definite integralIntegral of log over a square rootMIT 2015 Integration QuestionLooking for idea to solve an integralDefinite integral with logarithm and sine










2












$begingroup$


I was trying to find $int_0^1sqrtt^4+t^2+1dt$.



I’ve tried substitution $u=tan x$ but end with unpleasant integral. If someone have an idea, even complex integration, I’ll take










share|cite|improve this question









$endgroup$











  • $begingroup$
    Only a numerical solution is possible.
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 16:58










  • $begingroup$
    By numerical do you mean approximative solution???
    $endgroup$
    – HAMIDINE SOUMARE
    Apr 2 at 16:59










  • $begingroup$
    Yes that is what i mean
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 17:05










  • $begingroup$
    Can you provide a numerical one.
    $endgroup$
    – HAMIDINE SOUMARE
    Apr 2 at 17:13










  • $begingroup$
    See here $$1/3,frac 2,iit EllipticF left( 1/2+i/2sqrt 3,1/2+i/2sqrt 3 right) sqrt 3-sqrt 3+3,i+2,it EllipticE left( 1/2+i/2 sqrt 3,1/2+i/2sqrt 3 right) -1+isqrt 3 $$
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 17:27















2












$begingroup$


I was trying to find $int_0^1sqrtt^4+t^2+1dt$.



I’ve tried substitution $u=tan x$ but end with unpleasant integral. If someone have an idea, even complex integration, I’ll take










share|cite|improve this question









$endgroup$











  • $begingroup$
    Only a numerical solution is possible.
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 16:58










  • $begingroup$
    By numerical do you mean approximative solution???
    $endgroup$
    – HAMIDINE SOUMARE
    Apr 2 at 16:59










  • $begingroup$
    Yes that is what i mean
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 17:05










  • $begingroup$
    Can you provide a numerical one.
    $endgroup$
    – HAMIDINE SOUMARE
    Apr 2 at 17:13










  • $begingroup$
    See here $$1/3,frac 2,iit EllipticF left( 1/2+i/2sqrt 3,1/2+i/2sqrt 3 right) sqrt 3-sqrt 3+3,i+2,it EllipticE left( 1/2+i/2 sqrt 3,1/2+i/2sqrt 3 right) -1+isqrt 3 $$
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 17:27













2












2








2


0



$begingroup$


I was trying to find $int_0^1sqrtt^4+t^2+1dt$.



I’ve tried substitution $u=tan x$ but end with unpleasant integral. If someone have an idea, even complex integration, I’ll take










share|cite|improve this question









$endgroup$




I was trying to find $int_0^1sqrtt^4+t^2+1dt$.



I’ve tried substitution $u=tan x$ but end with unpleasant integral. If someone have an idea, even complex integration, I’ll take







real-analysis calculus integration complex-analysis






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Apr 2 at 16:40









HAMIDINE SOUMAREHAMIDINE SOUMARE

2,8831420




2,8831420











  • $begingroup$
    Only a numerical solution is possible.
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 16:58










  • $begingroup$
    By numerical do you mean approximative solution???
    $endgroup$
    – HAMIDINE SOUMARE
    Apr 2 at 16:59










  • $begingroup$
    Yes that is what i mean
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 17:05










  • $begingroup$
    Can you provide a numerical one.
    $endgroup$
    – HAMIDINE SOUMARE
    Apr 2 at 17:13










  • $begingroup$
    See here $$1/3,frac 2,iit EllipticF left( 1/2+i/2sqrt 3,1/2+i/2sqrt 3 right) sqrt 3-sqrt 3+3,i+2,it EllipticE left( 1/2+i/2 sqrt 3,1/2+i/2sqrt 3 right) -1+isqrt 3 $$
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 17:27
















  • $begingroup$
    Only a numerical solution is possible.
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 16:58










  • $begingroup$
    By numerical do you mean approximative solution???
    $endgroup$
    – HAMIDINE SOUMARE
    Apr 2 at 16:59










  • $begingroup$
    Yes that is what i mean
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 17:05










  • $begingroup$
    Can you provide a numerical one.
    $endgroup$
    – HAMIDINE SOUMARE
    Apr 2 at 17:13










  • $begingroup$
    See here $$1/3,frac 2,iit EllipticF left( 1/2+i/2sqrt 3,1/2+i/2sqrt 3 right) sqrt 3-sqrt 3+3,i+2,it EllipticE left( 1/2+i/2 sqrt 3,1/2+i/2sqrt 3 right) -1+isqrt 3 $$
    $endgroup$
    – Dr. Sonnhard Graubner
    Apr 2 at 17:27















$begingroup$
Only a numerical solution is possible.
$endgroup$
– Dr. Sonnhard Graubner
Apr 2 at 16:58




$begingroup$
Only a numerical solution is possible.
$endgroup$
– Dr. Sonnhard Graubner
Apr 2 at 16:58












$begingroup$
By numerical do you mean approximative solution???
$endgroup$
– HAMIDINE SOUMARE
Apr 2 at 16:59




$begingroup$
By numerical do you mean approximative solution???
$endgroup$
– HAMIDINE SOUMARE
Apr 2 at 16:59












$begingroup$
Yes that is what i mean
$endgroup$
– Dr. Sonnhard Graubner
Apr 2 at 17:05




$begingroup$
Yes that is what i mean
$endgroup$
– Dr. Sonnhard Graubner
Apr 2 at 17:05












$begingroup$
Can you provide a numerical one.
$endgroup$
– HAMIDINE SOUMARE
Apr 2 at 17:13




$begingroup$
Can you provide a numerical one.
$endgroup$
– HAMIDINE SOUMARE
Apr 2 at 17:13












$begingroup$
See here $$1/3,frac 2,iit EllipticF left( 1/2+i/2sqrt 3,1/2+i/2sqrt 3 right) sqrt 3-sqrt 3+3,i+2,it EllipticE left( 1/2+i/2 sqrt 3,1/2+i/2sqrt 3 right) -1+isqrt 3 $$
$endgroup$
– Dr. Sonnhard Graubner
Apr 2 at 17:27




$begingroup$
See here $$1/3,frac 2,iit EllipticF left( 1/2+i/2sqrt 3,1/2+i/2sqrt 3 right) sqrt 3-sqrt 3+3,i+2,it EllipticE left( 1/2+i/2 sqrt 3,1/2+i/2sqrt 3 right) -1+isqrt 3 $$
$endgroup$
– Dr. Sonnhard Graubner
Apr 2 at 17:27










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