`(i) int " x sec"^(2) " 2x dx "" "(ii) int " x sin"^(3) " 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 "

(i) int x sec^2 x dx (ii) int x cos^2 x dx

Evaluate: (i) int(tan x sec^(2)x)/((a+b tan^(2)x))dx (ii) int sec^(3)x tan xdx

(i) int e^x sec^2 (e^x) dx (ii) int e^x cosec^2 (e^x) dx

(i) int x sin^-1 x dx (ii) int x cos^-1 x dx (iii) int x tan^-1 x dx (iv) int x cot^-1 x dx

(i) int sin 2x. cos5x dx " "(ii) int(sin 4x)/(sin x) dx

(i) int sin 2x. cos5x dx " "(ii) int(sin 4x)/(sin x) 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 .

int x^2 sec x^3 dx =