" 53."int x2^(x)dx

int x^(2)a^(x)dx

int x. 2^(x) dx =

int (x)/(x+2) dx

int ((x)/(2-x))dx

int(x+x^(2))dx

int_0^(2a)f(x)dx is equal to 2int_0^af(x)dx b. 0 c. int_0^af(x)dx+int_0^af(2a-x)dx d. int_0^af(x)dx+int_0^(2a)f(2a-x)dx

int_0^(2a)f(x)dx is equal to a. 2int_0^af(x)dx b. 0 c. int_0^af(x)dx+int_0^af(2a-x)dx d. int_0^af(x)dx+int_0^(2a)f(2a-x)dx

(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " dx "

(i) int x^(2) " cos x dx " " "(ii) int x^(2) e^(3x) " dx "

Evaluate the following integrals: (i) int 2x sqrt(1 + x^2)dx " " (ii) int e^(-x^2) x dx " " (iii) int (sin x)/(1 + cos x) dx (iv) int 1/(1 + x^2)dx " " (v) int x (a - x)^8 dx .