Explore topic-wise MCQs in Engineering Mathematics.

This section includes 8 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Find ( int_{0}^{ frac{ pi}{2}} cos^3(x).cos(2x)dx ).

A. 0
B. 5
C. 87
D. <sup>-16</sup> <sub>105</sub>
Answer» E.
Discussion
2.

Find ( int_{- infty}^{0}x^5.e^x dx ).

A. 1
B. 199
C. -5!
D. 5!
Answer» D. 5!
Discussion
3.

Find ( int_{0}^{ frac{ pi}{4}} x^4.sin(x)dx ).

A. -1
B. 1
C. 0
D. 4((<sup> </sup> <sub>2</sub>)<sup>3</sup> 3 + 1)
Answer» C. 0
Discussion
4.

Find ( int_1^{ sqrt{2}} (x^{ frac{8}{5}}- frac{1}{x^{ frac{2}{5}}})^{ frac{5}{2}}dx ).

A. -1
B. 1
C. 0
D. <sup>1</sup> <sub>5</sub> <sup>1</sup> <sub>3</sub> + <sup>1</sup> <sub>1</sub> <sup> </sup> <sub>4</sub>
Answer» E.
Discussion
5.

Find the value of ( int_{0}^{ frac{ pi}{2}} cos^{11}(x).sin^9(x) , dx ).

A. <sup>1</sup> <sub>10!</sub>
B. <sup>5!6!</sup> <sub>11!</sub>
C. <sup>10!</sup> <sub>5!6!</sub>
D. 0
Answer» C. <sup>10!</sup> <sub>5!6!</sub>
Discussion
6.

Find ( int_{0}^{ frac{ pi}{4}} tan^3(x)dx ).

A. 0
B. 1
C. -1
D. None of the mentioned
Answer» C. -1
Discussion
7.

Find ( int_{0}^{ frac{ pi}{2}} sin^{10}(x)cos(x)dx ).

A. 1
B. 0
C. ( frac{13 pi}{1098} )
D. ( frac{21 pi}{2048} )
Answer» E.
Discussion
8.

Find ( int_{0}^{ frac{ pi}{2}} sin^6(x)dx ).

A. 0
B. <sup> </sup> <sub>8</sub>
C. <sup> </sup> <sub>4</sub>
D. ( frac{15 pi}{96} )
Answer» E.
Discussion