Solveeit Logo

Question

Mathematics Question on Definite Integral

Match List I with List IIList IList II
A.0π2sin72xsin72+cos72dx\int\limits^{\frac{\pi}{2}}_0\frac{\sin^{\frac{7}{2}}x}{\sin^{\frac{7}{2}}+\cos^{\frac{7}{2}}}dx
B.0πxsinx1+cos2xdx\int\limits_0^{\pi}\frac{x\sin x}{1+\cos^2x}dx
C.π2π2xcosx dx\int\limits^{\frac{\pi}{2}}_{-\frac{\pi}{2}}x\cos x\ dx
D.π4π4sin2x dx\int\limits_{-\frac{\pi}{4}}^{\frac{\pi}{4}}\sin^2x\ dx
Choose the correct answer from the options given below :
A

A-III, B-IV, C-II, D-I

B

A-I, B-IV, C-II, D-III

C

A-I, B-IV, C-II, D-III

D

A-IV, B-III, C-II, D-I

Answer

A-III, B-IV, C-II, D-I

Explanation

Solution

The correct option is (A) :A-III, B-IV, C-II, D-I.