JEE MainMathematicsIndefinite IntegralsMCQ+4 / −1If ∫sinxsin(x−α)dx=Ax+Blogsin(x−α),+C,\int {{{\sin x} \over {\sin \left( {x - \alpha } \right)}}dx = Ax + B\log \sin \left( {x - \alpha } \right), + C,}∫sin(x−α)sinxdx=Ax+Blogsin(x−α),+C, then value of (A,B)(A, B)(A,B) isA(−cosα,sinα)\left( { - \cos \alpha ,\sin \alpha } \right)(−cosα,sinα)B(cosα,sinα)\left( { \cos \alpha ,\sin \alpha } \right)(cosα,sinα)C(−sinα,cosα)\left( { - \sin \alpha ,\cos \alpha } \right)(−sinα,cosα)D(sinα,cosα)\left( { \sin \alpha ,\cos \alpha } \right)(sinα,cosα)Attempt in chatSharePreviousNextMore from Indefinite Integrals∫cosx−sinxdx is equal to2004 · MCQ Let f(x)=∫x33−x2dx. If 5f(2)=−4, then f(1) is equal to 2025 · MCQIf ∫(1+x2−x)9(1+x2+x)10 dx= m1((1+x2+x)n(n1+x2−x))+C where C is the…2025 · NumericalIf ∫(x1+x31)(233x−24+x−26)dx=−3(α+1)α(3xβ+xγ)αα+1+C,x>0,(α,β,γ∈Z),…2025 · NumericalIf ∫ex(1−x2xsin−1x+(1−x2)3/2sin−1x+1−x2x)dx=g(x)+C, where C is the constant of integration, then g(21)…2025 · MCQLet I(x)=∫(x−11)1311(x+15)1315dx. If I(37)−I(24)=41( b1311−c1311),b,c∈N…2025 · MCQLet ∫x3sinx dx=g(x)+C, where C is the constant of integration. If 8(g(2π)+g′(2π))=απ3+βπ2+γ,α,β,γ∈Z, then α+β−γ…2025 · MCQIf ∫x2+x+12x2+5x+9 dx=xx2+x+1+αx2+x+1+βlogex+21+x2+x+1+C, where C is the constant of integration, then α+2β…2025 · Numerical