$\int\frac{e^{3x}+1}{4}dx$

$-\left(a+b-c\right)-\left(-a-b-c\right)+\left(a+b+c\right)$

$\int_0^2\left(5+2x\right)\sqrt{10-x}dx$

$-x-2^2$

$2x^3-3x^2-11x+6$

$1-\sin\:\left(x\right)+\frac{3}{8\left(\sin\:\left(x\right)+1\right)}$

$\int\left(\frac{6x+1}{3x^2+x-1}\right)dx$