Description : Evaluate: `int(x+sinx)/(1+cosx) dx`
Last Answer : Evaluate: `int(x+sinx)/(1+cosx) dx`
Description : Evaluate: `int(sinx)/(sin(x-a)) dx`
Last Answer : Evaluate: `int(sinx)/(sin(x-a)) dx`
Description : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`
Last Answer : Evaluate: (i) `int(e^(sqrt(x))cos(e^(sqrt(x))))/(sqrt(x)) dx` (ii) `int(cos^5x)/(sinx) dx`
Description : Evaluate: (i) `int(sinx)/(1+cos^2x) dx` (ii) `int(2x^3)/(4+x^8) dx`
Last Answer : Evaluate: (i) `int(sinx)/(1+cos^2x) dx` (ii) `int(2x^3)/(4+x^8) dx`
Description : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`
Last Answer : Evaluate the integrals `int0pi/2(sinx)/(1+cos^2x)dx`
Description : Evaluate: `int1/(sinx(3+2cosx)dx`
Last Answer : Evaluate: `int1/(sinx(3+2cosx)dx`
Description : `int (1-sinx )/ (1-cos x) dx=?`
Last Answer : `int (1-sinx )/ (1-cos x) dx=?` A. `cot .(x)/(2) -2 log sin .(x)/(2) +c` B. `-cot .(x)/(2) -2 log sin .(x)/(2) +c` C. None of the above D.
Description : `int sinx/sin(3x) dx=`
Last Answer : `int sinx/sin(3x) dx=`
Description : `int(cosx)/((1+sinx)(2+sinx))dx`
Last Answer : `int(cosx)/((1+sinx)(2+sinx))dx`
Description : `(i) int(sinx)/(sqrt(4+ cos^(2) x)) dx " "(ii) int(x^(2))/(sqrt(9+x^(6)))dx`
Last Answer : `(i) int(sinx)/(sqrt(4+ cos^(2) x)) dx " "(ii) int(x^(2))/(sqrt(9+x^(6)))dx`
Description : `(i)intsec^(7) x. sin x dx" "(ii) int(1)/(sinx. cos^(2) x)dx`
Last Answer : `(i)intsec^(7) x. sin x dx" "(ii) int(1)/(sinx. cos^(2) x)dx`
Description : `int(cot x)/(1+sinx) dx`
Last Answer : `int(cot x)/(1+sinx) dx`
Description : `int(sinx)/(a+b cos x)dx`
Last Answer : `int(sinx)/(a+b cos x)dx`
Description : `int(cotx)/(log(sinx)dx`
Last Answer : `int(cotx)/(log(sinx)dx`
Description : `int(sinx. cos x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx`
Last Answer : `int(sinx. cos x)/(a^(2) cos^(2) x+b^(2) sin^(2) x)dx`
Description : `int(1)/(1-sinx) dx`
Last Answer : `int(1)/(1-sinx) dx`
Description : `int(sinx)/(1+sin x) dx`
Last Answer : `int(sinx)/(1+sin x) dx`
Description : Evaluate: `int((x-1)e^x)/((x+1)^3)dx`
Last Answer : Evaluate: `int((x-1)e^x)/((x+1)^3)dx` A. `(e^(x))/((x+1)^(2))+c` B. `(e^(x))/((x+1)^(3))+c` C. `(e^(x))/((x+1)^(4))+c` D.
Description : Evaluate: `int(x^2-1)/(x^4+x^2+1) dx`
Last Answer : Evaluate: `int(x^2-1)/(x^4+x^2+1) dx`
Description : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate: `int(sqrt(tanx)+sqrt(cotx))dx`
Description : Evaluate: `int(x^2+4)/(x^4+16)dx`
Last Answer : Evaluate: `int(x^2+4)/(x^4+16)dx`
Description : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) dx`
Last Answer : Evaluate: `int(2x+5)/(sqrt(x^2+2x+5)) dx`
Description : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`
Last Answer : Evaluate: `int(2x-5)sqrt(2+3x-x^2)dx`
Description : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Last Answer : Evaluate: `int(4x+1) sqrt(x^2-x-2) dx`
Description : Evaluate: `int(x-5) sqrt(x^2+x) dx`
Last Answer : Evaluate: `int(x-5) sqrt(x^2+x) dx`
Description : Evaluate: `int(x+1)/(x^2+4x+5) dx`
Last Answer : Evaluate: `int(x+1)/(x^2+4x+5) dx`
Description : Evaluate: `int(x+1)/(x(1+xe^x)^2)dx`
Last Answer : Evaluate: `int(x+1)/(x(1+xe^x)^2)dx`
Description : Evaluate: `int(x^2+1)/(x^2-1) dx`
Last Answer : Evaluate: `int(x^2+1)/(x^2-1) dx`
Description : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Last Answer : Evaluate : `int(2x-3)/(x^2+ 3x-18) dx`
Description : Evaluate: `int{s in(logx)+cos(logx)}dx`
Last Answer : Evaluate: `int{s in(logx)+cos(logx)}dx`
Description : Evaluate `int e^(2x) sin 3x dx`.
Last Answer : Evaluate `int e^(2x) sin 3x dx`.
Description : Evaluate: `int((xtan^(-1)x)/((1+x^2)^(3setminus2)) dx`
Last Answer : Evaluate: `int((xtan^(-1)x)/((1+x^2)^(3setminus2)) dx`
Description : Evaluate `int (xtan^(-1)x)/(1+x^2)^(3/2) dx`
Last Answer : Evaluate `int (xtan^(-1)x)/(1+x^2)^(3/2) dx`
Description : Evaluate `int sin^(-1)x dx`.
Last Answer : Evaluate `int sin^(-1)x dx`.
Description : Evaluate : `int x^n log x dx.`
Last Answer : Evaluate : `int x^n log x dx.`
Description : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`
Last Answer : Evaluate: (i) `int(e^x)/(sqrt(4-e^(2x))) dx` (ii) `int(x^2)/(sqrt(1-x^6)) dx`
Description : Evaluate: `int(1+x+x^2)/(x^2(1+x)) dx`
Last Answer : Evaluate: `int(1+x+x^2)/(x^2(1+x)) dx`
Description : Write a value of `inte^x (sinx+cosx)dx`
Last Answer : Write a value of `inte^x (sinx+cosx)dx` A. `e^(x) cos x +c` B. ` -e^(x) sin x+ c` C. `-e^(x) cos x + c` D.
Description : `intx/((1+sinx))dx`
Last Answer : `intx/((1+sinx))dx`
Description : `intsqrt(1+sinx)dx`
Last Answer : `intsqrt(1+sinx)dx`
Description : 3(sinx-2) cos x/ 5-cos²x- 4sinx dx
Last Answer : Integrate: \( \int \frac{(3 \sin \phi-2) \cos \phi}{5-\cos ^{2} \phi-4 \sin \phi} d x \)
Description : Evaluate: `int(a x+b)^3dx`
Last Answer : Evaluate: `int(a x+b)^3dx`
Description : Evaluate: `int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx`
Last Answer : Evaluate: `int_0^(pi//2)1/((a^2cos^2x+b^2sin^2x)^2)dx` A. `(pi(a^(2) +b^(2)))/(4a^(3)b^(3))` B. ` ... )+b^(2)))/(4a^(2)b^(2))` C. None of the above D.
Description : Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx`
Last Answer : Evaluate `int_0^(pi/4)(sqrt(tanx)+sqrt(cotx))dx` A. `-(pi)/(sqrt(2))` B. `(pi)/(2)` C. `-(pi)/(2)` D.
Description : `"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`
Last Answer : `"if "f(x) ={ underset(5x, 1,2 le x le 3)(3x+4, 0 le x le 2}},` then evaluate `int_(0)^(3) f(x) dx.`
Description : Evaluate : `int_(0)^(1) (1-x)^(3//2) dx`
Last Answer : Evaluate : `int_(0)^(1) (1-x)^(3//2) dx`
Description : `"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`
Last Answer : `"If "f(x) ={underset(x^(2)+1.2 le x le 3)(2x+1.1 le x le 2),` then evaluate `int_(1)^(3) f(x) dx.`
Description : Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`
Last Answer : Evaluate :`int_(-pi//4)^(pi//4) |sin x|dx`
Description : Evaluate :`int_(0)^(8) |x-5|dx`
Last Answer : Evaluate :`int_(0)^(8) |x-5|dx`