Let and suppose

MATHEMATICS · Single correct · A Level · Mathematics · Integration · Integration

Problem

Let

F(x)=\displaystyle\int \bigl(6x^{2}-8\cos x+10e^{x}\bigr)\,dx

and suppose

F(0)=7

. Find the value of

F(1)

. (a)

10e + 8\sin 1 - 1

(b)

10e - 8\cos 1 - 1

(c)

10e - 8\sin 1 - 1

(d)

10e - 8\sin 1 - 3