Find ∫cos 3xsin 3x(1 + sin 3x)dx.
Find ∫ cos 3x sin 3x(1 + sin 3x) dx . => 3 ln | sin 3x 1 + sin 3x | + C or ln | sin 3x 1 + sin 3x | + C or 1 3 ln | sin 3x 1 + sin 3x | + C or 1 3 ln | sinx 1 + sinx | + C..
Find the approximate value of ∫0πsin x dx, by using 4 rectangle..
Find the approximate value of ∫ 0 π sin x dx , by using 4 rectangles of equal width. => 0.785 or 2.414 or 2.785 or 1.414 or 1.895..
Evaluate: ∫(2 - 5x) xdx
Evaluate: ∫ (2 - 5 x ) x dx => II or I or III or V or IV..
Find ∫ sin3 4x cos2 4x dx.
Find ∫ sin 3 4 x cos 2 4 x dx . => cos 3 4 x + 1 20 cos 5 4 x + C or - cos 3 4 x - cos 5 4 x + C or 1 1 2 cos 3 4 x - cos 5 4 x + C or - 1 12 cos 3 4 x + 1 20 cos 5 4 x + C..
Find ∫sin 6x cos 9x dx.
Find ∫ sin 6 x cos 9 x dx . => 1 6 cos 15 x - 1 30 cos 3 x + C or 1 15 cos 15 x + 1 3 cos 3 x + C or - 1 2 cos 15 x + 1 2 cos 3 x + C or - 1 30 cos 15 x + 1 6 cos 3 x + C..
Graph of y = sin x
As x increases from 180 o to 270 o , sinx decreases from 0 to -1 and as x increases from 270 o to 360 o , sinx increases from -1 to 0. The maximum absolute value of sin x = ..
Evaluate: ∫-22 | x | dx
Evaluate: ∫ -2 2 | x | dx => 0 or 2 or 8 or 16 or 4..
Evaluate: ∫02(x + 1) dx
Evaluate: ∫ 0 2 ( x + 1) dx => 5 or 6 or 2 or 3 or 4..
Evaluate the definite integral ∫02(5 + x) dx.
Evaluate the definite integral ∫ 0 2 (5 + x ) dx . => 1 or 0 or 12 or - 12 or 2..
Evaluate the integral by using the reduction formulas.∫ tan5(3x) d..
Evaluate the integral by using the reduction formulas. ∫ tan 5 (3 x ) dx => IV or I or III or II or V..
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