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(Solved): Determine the following integrals: (a) \int_1^2 (dx)/(x\sqrt(4+x^(2))) (b) \int xe^(3x)dx (c) \int e ...



Determine the following integrals: (a)

\int_1^2 (dx)/(x\sqrt(4+x^(2)))

(b)

\int xe^(3x)dx

(c)

\int e^(-y)cos(y)dy

(d)

\int cos^(3)(4x)dx

(e)

\int sin^(4)(2x)cos(2x)dx

(f)

\int sec^(3)(x)tan^(3)(x)dx

(g)

\int (3dx)/(\sqrt(1+9x^(2)))

(h)

\int (5dx)/(\sqrt(25x^(2)-9))

(i)

\int (2x+1)/(x^(2)-7x+12)dx

(j)

\int (x^(3)dx)/(x^(2)-2x+1)

(k)

\int_0^4 (dx)/(\sqrt(4-x))

(I)

\int_(-\infty )^2 (2dx)/(x^(2)+4)

(m)

\int_(-\infty )^(\infty ) 2xe^(-x^(2))dx


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