I want to find the numerical integration from a multivariate function ( f(t,C) ) where C'=[c_1,c_2,...,c_m] with respect to " t ",

what command is the most accurate and efficient Matlab command for doing this?

for example this is my function:

f(t,c_1,c_2,c_3,c_4) =

(t^2 + 1)*((5040315906112595*t^(3/5)*(156*c_1 - 156*3^(1/2)*c_2 + 156*5^(1/2)*c_3 - 156*7^(1/2)*c_4 + 195*3^(1/2)*c_2*t - 585*5^(1/2)*c_3*t + 1170*7^(1/2)*c_4*t + 450*5^(1/2)*c_3*t^2 - 2250*7^(1/2)*c_4*t^2 + 1250*7^(1/2)*c_4*t^3))/702561541869797376 + 1)^2 + (sin(t)*(c_1 - (exp(t)*((5040315906112595*t^(3/5)*(156*c_1 - 156*3^(1/2)*c_2 + 156*5^(1/2)*c_3 - 156*7^(1/2)*c_4 + 195*3^(1/2)*c_2*t - 585*5^(1/2)*c_3*t + 1170*7^(1/2)*c_4*t + 450*5^(1/2)*c_3*t^2 - 2250*7^(1/2)*c_4*t^2 + 1250*7^(1/2)*c_4*t^3))/702561541869797376 + 1))/2 + 3^(1/2)*c_2*(2*t - 1) + 5^(1/2)*c_3*(6*t^2 - 6*t + 1) + 7^(1/2)*c_4*(20*t^3 - 30*t^2 + 12*t - 1))^2)/cos(t)^2

note that the command " int ( f,t,0,1 ) " didn't work and it's said: Warning Explicit integral could not be found.

I'll be very appreciate if you help me with this.

Best regards,

Siavash.

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