निम्नलिखित समाकलों (Integrals) का मान ज्ञात कीजिए-
(a) `int v dy` (b) `int x^(6) dx` (c) `int x^(a) dx` (d) `int t^(4) dt`

Evaluate the following integrals: (a) int x^8 dx (b) int_2^5 x^2 dx (c ) int (x+sin x) dx

Find (d)/(dx ) int _(1) ^(x ^(4)) sec t dt.

Integrate : int xe^(x)dx

Evaluate the followig integrals (i) int xe^x dx " " (ii) int x cos x dx " " (iii) int log x dx " " (iv) int sin^(-1)x dx .

Integrate the following functions with respect to x (a) int (5x^2 + 3x -2) dx (b) int (4sin x-(2)/(x)) dx (c) int (dx)/(4x+5) (d) int (6x +2)^(3) dx

Integrate the following functions with respect to x (a) int (5x^2 + 3x -2) dx (b) int (4sin x-(2)/(x)) dx (c) int (dx)/(4x+5) (d) int (6x +2)^(3) dx

(d)/(dx) [int_(0)^(x^(2))(dt)/(t^(2) + 4)] = ?

int_0^af(a-x)dx =..... a) int_0^(2a)f(x)dx b) int_-a^af(x)dx c) int_0^af(x)dx d) int_a^0f(x)dx

Evaluate indefinite integration. (i) x=intdt " " (ii) int t dt " " (iii) x=int (2t) dt" " (iv) x=int (t^(2)) dt " " (v) x=int (-(2)/(t^3))dt

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 .