Definite integral basics challenge

It is known that the area under the curve $~y=e^x~$space, y, equals, e, start superscript, x, end superscript, space from $~x=0~$space, x, equals, 0, space to $~x=1~$space, x, equals, 1, space is $~e-1\,$space, e, minus, 1; therefore we know that

$\qquad\displaystyle \int_0^1e^x\,dx=e-1~~$integral, start subscript, 0, end subscript, start superscript, 1, end superscript, e, start superscript, x, end superscript, d, x, equals, e, minus, 1, space, space and is equal to the area of the shaded region shown below.

With this knowledge, evaluate each of the following.

$~~~$space, space, space(a)$~~~ \displaystyle \int_1^0e^x\,dx=$space, space, space, integral, start subscript, 1, end subscript, start superscript, 0, end superscript, e, start superscript, x, end superscript, d, x, equals

$~~~$space, space, space(b)$~~~ \displaystyle \int_0^12e^x\,dx=$space, space, space, integral, start subscript, 0, end subscript, start superscript, 1, end superscript, 2, e, start superscript, x, end superscript, d, x, equals

$~~~$space, space, space(c)$~~~ \displaystyle \int_0^1\big(2e^x-3\big)\,dx=$space, space, space, integral, start subscript, 0, end subscript, start superscript, 1, end superscript, left parenthesis, 2, e, start superscript, x, end superscript, minus, 3, right parenthesis, d, x, equals