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Integral Calculus
integral of cube root of sinx
Integral Calculus
show that the length of the curve y = log sec between the points x = 0 and x = π/3 is log(2+√3)?
Integral Calculus
Show that the length of the curve y = log secx between the points x = 0 and x = pi/3 is log(2+√3).
Integral Calculus
Integrate with respect to x: ∫ e^5x sin 3x dx
a. 3e^5x/34(1/3 sin 3x-cos 3x)+c
b. 3e^5x/24(5/3 sin 3x-cos 3x)+c
c. 3e^5x/34(5/3 sin 3x-cos 3x)+c - yes* (please let me know if this is correct)
d. 3e^5x/34(1/3 sin 3x-cos 2x)+c
a. 3e^5x/34(1/3 sin 3x-cos 3x)+c
b. 3e^5x/24(5/3 sin 3x-cos 3x)+c
c. 3e^5x/34(5/3 sin 3x-cos 3x)+c - yes* (please let me know if this is correct)
d. 3e^5x/34(1/3 sin 3x-cos 2x)+c
Integral Calculus
Integrate with respect to x: ∫ x^2 e^3x dx
a. e^3x/3(x^2-2x/3)+c
b. e^3x/3 (x^2-2x/3+2/9)+c - yes* (let me know if this is correct)
c. e^3x/3 (x-2x/3+2/9)+c
d. e^3x/3 (x^2-2x/3+2/7)+c
a. e^3x/3(x^2-2x/3)+c
b. e^3x/3 (x^2-2x/3+2/9)+c - yes* (let me know if this is correct)
c. e^3x/3 (x-2x/3+2/9)+c
d. e^3x/3 (x^2-2x/3+2/7)+c
Integral Calculus
Integrate with respect to x: ∫ dx / (3 sinx + 4 cosx) dx
a. 13 ln((1+(2 tanx )/2)/(4-(2 tanx)/2))+C
b. 15 ln((1+(2 tanx )/2)/(4-tanx/2))+C
c. 1/4
d. 15 ln((1+(2 tanx )/2)/(4-(2 tanx)/2))+C
a. 13 ln((1+(2 tanx )/2)/(4-(2 tanx)/2))+C
b. 15 ln((1+(2 tanx )/2)/(4-tanx/2))+C
c. 1/4
d. 15 ln((1+(2 tanx )/2)/(4-(2 tanx)/2))+C
Integral Calculus
Find the integral of x cos ax^2 dx with respect to x
a. cos^3x + c
b. sin^2x + c
c. sec^2x + 1
d. 1/2 a sin ax^2 + c
a. cos^3x + c
b. sin^2x + c
c. sec^2x + 1
d. 1/2 a sin ax^2 + c
Integral Calculus
Find the area enclosed between the x-axis and the curve, if y = x^2 − 25 for (-5) is less than or equal to x less than or equal to 5.
a. 50
b. (-500)
c. 500
d. 25
a. 50
b. (-500)
c. 500
d. 25
Integral Calculus
Find the area enclosed between the x-axis and the curve, if y =x3 and the straight line y = x.
a. 4
b. 3x
c. 1/4
d. 12
a. 4
b. 3x
c. 1/4
d. 12
Integral Calculus
Find the area enclosed between the x-axis and the curve, if y = x3 + 2x^2 + x + 1 between x = -1 and x = 2
a. 28
b. 14 1/4
c. 52
d. 2/5
a. 28
b. 14 1/4
c. 52
d. 2/5
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